Dear double-digit division, why are you so rude?
Long division is hard enough with a divisor like 7. And now you want my students to divide by 37?
So how do I teach long division with 2-digit divisors? Preferably without tears. From kids. Or me.
Don’t worry, friends. I’ve got your back.
Table of Contents
First thing, first: Prerequisite Skills
Do not even attempt to teach double digit division until you have the following foundational skills in place. It is just not worth it.
1️⃣ Fact Fluency
Times tables, baby.
If kids don’t have them, they can’t do double-digit division. And please don’t pass out a multiplication chart and hope for the best.
Take the time to teach skip-counting songs and get your kids caught up. Because believe me, it won’t just be division that’s affected by this gap. It’ll be fractions. And decimals. And measurement. And algebra. And on and on for the rest of their mathematical lives.
Take one week to teach the skip-counting songs and never look back.
2️⃣ Subtraction with Regrouping
If I had a dollar for every time a student solved a BEAUTIFUL division problem and then wrecked it with a regrouping error, I would have…. a lot of dollars.
You can get away without solid regrouping in single-digit long division, because you’ll never have a remainder bigger than 9. Counting up (or finger counting ) will get a fourth grader through it.
But y’all. We are about to have remainders like 57 and 82. Nobody has time to finger count all that. We need some solid regrouping up in HERRRE.
3️⃣ 2 Digit by 1 Digit Multiplication
Our method for double-digit division is going to rely on guessing and checking. The checking means multiplying our actual divisor (a 2-digit number) by the number of groups (a 1-digit number).
This needs to be something kids can do quickly and without stress, because the rest of the problem is going to feel daunting enough.
4️⃣ Long Division by 1-Digit Divisors
This one goes without saying. If your students don’t know the mechanics of the division cycle, they are not ready for a 2-digit divisor.
I spend 8 days reviewing 4th grade division before we even look at a double-digit divisor. And yes, it is that serious.
And guess what? Because we lay such a solid foundation, we can teach 2-digit divisors in just four additional days.
Ok, Sally. My kids don’t have any of these prerequisite skills down.
That is totally fine! I have never once had a group of 5th graders (or even middle schoolers) who did. So welcome to the club.
But don’t attempt 2-digit divisors until you deal with those four things. Unless you enjoy a lot of crying from everyone involved.
Here’s the plan:
- Take a week to review subtraction with regrouping and/or 2-digit by 1-digit multiplication.
- During that same week, teach the skip-counting songs. One per day: 4s, 6s, 7s, 8s, 9s. BOOM. That’s it.
- Then spend 8 lessons on single-digit division.
Foundation in place? Let’s divide by 2-digits!
1️⃣ Division Tip #1: Scaffold Lessons by the Number of Digits in the Quotient
This means spending two full lessons on problems that have single-digit answers. Then we move on to problems where we repeat the division cycle more than once and land on 2- or 3-digit quotients.
- Day 1: 2 digits by 2 Digits (1 Digit Quotient)
- Day 2: 3 Digits by 2 Digits (1 Digit Quotient)
- Day 3: 3 – 4 Digits by 2 Digits (2 or 3 Digit Quotients)
- Day 4: Interpreting the Remainder
Why does this matter?
Well, remember: each digit in our quotient represents one cycle of the division song. (Don’t know the song I’m referring to? Read about it here!) When we scaffold this way, we’re narrowing the focus and getting kids familiar with the steps.
Ok, but what’s the difference between Day 1 and Day 2? Our quotient will be smaller on Day 1, likely 4 or less. Smaller numbers give kids an easier time mastering the steps. On Day 2, we’ll see bigger quotients and the difficulty grows, but only slightly.
Once we’ve mastered the cycle, then we attempt problems with 2- and 3-digit quotients, where we’re repeating that cycle more than once.
2️⃣ Division Tip #2: Number Seats
If you read my post on single-digit division, you’re already familiar with this idea. We set up blank number seats before we start the division cycle.
This creates a road map for the problem. It tells me how many cycles of division I’m about to complete.
Here’s what this looks like:
1-digit quotients
- I can’t make a group of 48 out of 9, but I can make a group of 48 out of 93. → 1 seat
- I can’t make a group of 67 out of 32, but I can make a group of 67 out of 329. → 1 seat
2-Digit Quotients
- I can’t make a group of 24 out of 5, but I can make a group of 24 out of 57. → 2 seats I can’t make a group of 61 out of 47, but I can make a group of 61 out of 479. → 2 seats
3-Digit Quotients
I can’t make a group of 23 out of 4, but I can make a group of 23 out of 48. → 3 seats
By setting up number seats before we divide, we’re creating a road map for how we’ll solve the problem.
It also lets me know when I’m “finished.” When the final number seat is filled, the remainder is my actual remainder.
3️⃣ Division Tip #3: Estimate -> Guess -> Check
Ok. We’ve taught the prerequisite skills. We’ve scaffolded appropriately. We’ve set up our number seats.
Now, how do we actually do long division with 2-digit divisors?
Let’s walk through 836 ÷ 42.
Step 1: Round your 2-digit divisor to the nearest 10. List the first 9 multiples of that number.
42 rounds to 40, so we list: 40, 80, 120, 160, 200, 240, 280, 320, 360.
Some students may be able to count by 40. Others will need to count by 4 and add a zero to each multiple. Either option is great!
Step 2: Guess & Check for Seat 1
I’m making groups of 40 and I can’t pass 83 (my first number seat). Let’s guess 2 groups at first, because 2 × 40 = 80.
Then I check — and 42 × 2 = 84, which is too big. So I know I can only make one group in that first seat.
Step 3: Guess & Check for Seat 2
After I subtract, I’m left with 41. I bring down the 6, and now I’m trying to get to 416 with groups of 40.
I look at my multiples and see that 9 groups is 360. That’s as close as I can get! That’s my guess — now we check. 42 × 9 = 378.
I subtract with regrouping and see that I have a remainder of 38.
4️⃣ Division Tip #4: Use the Division Song
If I never hear “Does McDonald’s Sell Burgers” again, it will be too soon. Let’s give our kids a little credit that they can actually understand the mechanics of division without a cutesy phrase.
But if you feel like you need a little support on the steps, the Division Song is there to help! It’s catchy, but it still maintains good number sense by talking about what’s actually happening.
Keep in mind, the Division Song is designed for 1-digit divisors. Your students should be fresh off 8 days of dividing with the Division Song, so the only new layer for them is the Estimate → Guess → Check process for 2-digit divisors.
Want to see this 2-digit division problem in action with the song? Here you go!
5️⃣ Division Tip #5: Check those remainders!
Every time you get a remainder (either within the problem or the final remainder), have a conversation with kids about whether what’s left over makes sense.
It’s ok to have big huge remainder of 38, because my divisor is 42. 38 is not enough to make another group. It’s close. We have almost 20 groups, but not quite.
How to Teach Long Division with 2-Digit Divisors (but skip all that planning)
I get it. This is a lot to teach. The last thing you need is to build all of it from scratch.
Here’s my 5th Grade Division Unit. It includes 8 days of single-digit divisors, followed by 4 days of two-digit divisors.
Everything you need, ready to print and use tomorrow.
All 12 lesson packets include:
- A detailed instructional guide
- Teacher-led examples
- Partner work
- 3 pages of scaffolded independent practice
- A challenge page for early finishers
- An exit ticket
How to Teach Long Division with 2-Digit Divisors: Final Thoughts
Here’s the thing I wish someone had told me my first year: double-digit division isn’t actually a division problem. It’s a readiness problem.
Every time I’ve watched this unit fall apart, it wasn’t because the kids couldn’t divide. It’s because they didn’t have fact fluency. Or they couldn’t regroup. Or they’d never really owned the division cycle in the first place, and 2-digit divisors just finally exposed it.
So if you take one thing from this post, take this: spend the time up front. Eight days on single-digit division feels indulgent right up until the moment your kids breeze through 2-digit divisors in four lessons flat.
And be patient with the guessing. Guessing wrong and adjusting isn’t a kid failing at division. It’s a kid doing division. Say that out loud in your classroom. Say it more than once. It changes everything about how they handle being stuck.
As they guess and check, they’re practicing so many subskills in the process. They will come out stronger as a result.
You’ve got this. And so do they.
Math love,
Sally 💛
FAQs: How to Teach Long Division with 2-Digit Divisors
I don’t want to round my divisor! Why can’t I just teach kids to list out the first 9 multiples of my actual divisor using repeated addition?
Ok, first of all: it’s tediously boring. And it builds almost no number sense.
I also realized the chances of a 5th grader listing all 9 multiples of a number like 42 correctly are slim to none. Once you make one mistake, the whole thing falls down like a house of cards.
Estimating, guessing, and checking is much less cumbersome for kids. It builds true number sense. And if you make a mistake, you’ll catch it on your own through the process.
What grade is 2-digit division taught?
Fifth grade in most states, after students master 1-digit divisors in fourth. If your fifth graders aren’t ready, that’s not a fifth grade problem — that’s a fourth grade gap, and you have to go back and fill it before you move forward.
How long does it take to teach division with 2-digit divisors?
Four days, if the foundation is solid. Twelve, if you count the 8 days of single-digit division review I do first. And honestly? Add another week before all of it if your kids need the prerequisite repair on fact fluency, subtraction with regrouping, and 2 x 1 digit multiplicaiton.
Should I let students use a multiplication chart?
I’d rather you didn’t. A chart gets a kid through today’s worksheet and leaves the actual gap exactly where it was. Teach the skip-counting songs instead — one per day, 4s through 9s. It takes a week and it fixes the problem for life instead of hiding it. You can take a multiplication chart away from a kid, but they will always have their fingers.
My students know the steps but keep getting wrong answers. What’s going on?
Nine times out of ten it’s not division at all. It’s subtraction with regrouping, or it’s 2-digit by 1-digit multiplication in the checking step. Sit next to one kid and have them work a problem out loud. Wherever they slow down is your real answer.
Do I have to round the divisor? Can’t they just guess?
They can, and some kids will. But rounding gives them a starting point instead of a blank stare, and listing those 9 multiples means the guess becomes a lookup. The checking still happens with the real divisor — the rounding is just there to get them moving.
Why does my child struggle with long division specifically?
Because it’s the first thing in elementary math where you have to make a decision in the middle of every single step. Everything else is do-the-thing-get-the-answer. This one asks kids to guess, be wrong, and try again — and a lot of kids have learned that being wrong means they’re bad at math.
We have to show them that guessing, being wrong, and guessing again is being a mathematician at its core.
