Divide Multi-Digit Numbers Using the Standard Algorithm

Students apply the standard long division algorithm to divide up to four-digit dividends by one-digit divisors, finding whole-number quotients and remainders. They practice the divide–multiply–subtract–bring down cycle and interpret remainders appropriately.

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Grade 4 · Division with Multi-Digit Dividends · question 1 of 3

0 of 20

20 rungs. A star at the top.

÷ 3 = 26

How it is taught

0:00 of 4:59

Division can be done one place at a time.

Divide, multiply, subtract, then bring down.

The number on top is the quotient.

Read it: Divide in big pieces

What is 96 ÷ 6? Take out 10 sixes, which is 60, and 36 are left. Take out 6 more sixes, and nothing is left. 10 + 6 = 16.

Share the places: tens and hundreds share out just like ones.
Or take out easy chunks of the divisor, and add the chunks.
Or go place by place, the biggest place first, and write a digit for each place.

Dividing asks how many groups of the divisor fit. Places, chunks and digits all count those groups.

Each way gives the same quotient, so you can check one way with another.

Every place gets a digit, even a 0: 412 ÷ 4 is 103, not 13.

Share the places, take out chunks, or go place by place. Each way gives the same quotient.

Dropping the 0 from the middle: 412 ÷ 4 written as 13.

1 ten ÷ 4 is 0 tens, and the 0 holds the tens place. 412 ÷ 4 = 103.

624 ÷ 3 = ___ — 208. 6 hundreds ÷ 3 = 2; 2 tens ÷ 3 = 0 R 2; 24 ones ÷ 3 = 8. So 208.

856 ÷ 4

Today we'll divide a big number using the standard algorithm. Imagine 856 stickers shared fairly among 4 classrooms — how many does each room get?

Write 856 inside the long division house, with 4 outside as the divisor.

Start with the first digit. How many fours fit in eight? Two — write a two on top, right above the eight.

Now multiply: two times four is eight. Write eight underneath the eight.

Subtract: eight minus eight is zero.

Bring down the next digit, the five.

How many fours fit in five? Just one. Write one on top, above the five.

Multiply: one times four is four. Write four below the five.

Subtract: five minus four is one.

Bring down the last digit, the six. Now we're working with sixteen.

How many fours fit in sixteen? Exactly four — write four on top.

Multiply: four times four is sixteen. Write sixteen below.

Sixteen minus sixteen is zero. No remainder!

Grade 4 · Sharing 856 stickers among 4 classrooms

856 divided by 4 is 214. Each classroom gets 214 stickers. Great work!

What you see

While they climb, your page writes one true line to ask about tonight, and a short note each Sunday.

MayaGrade 3 · Mathematics

Did you know?

A chessboard has 64 squares — share them out between the 8 rows and each row holds exactly 8.

Today’s goal: 1 star — one skill mastered, every rung of its ladder climbed
Climbing now: Divide within 100

An example student.

MayaGrade 3 · Mathematics

Maya earned 2 stars this week — Interpret multiplication as equal groups, which took 6 answers over 3 days before its star landed 3 days ago and Multiply by 6, 7, 8 and 9. Next up: Divide within 100.

An example week.

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