4-digit by 2-digit long division worksheets

A two-digit divisor is the grade-five jump, and the new work is estimation: guessing each quotient digit when you cannot just read it off a times table. These free printable worksheets set a four-digit dividend over a two-digit divisor — 4352 ÷ 16 — with exact whole-number quotients.

Kid stuck on one? You don’t just get the sheet.

4-digit by 2-digit long division
4-digit by 2-digit long division worksheet — 4-digit ÷ 2-digit, free printable with answer key

The answer key prints on a separate page.

What's on this sheet

Each problem prints the long-division house with a two-digit divisor outside and a four-digit dividend inside, and the steps are the same four a child already owns — divide, multiply, subtract, bring down. What changes is the first move: 16 into 43 is no longer a memorized fact but an estimate. Rounding 16 up to 20 gives a first guess, which the child multiplies back and adjusts up or down until it fits. That single act of estimating is the grade-five jump.

Why this sheet works

Every dividend equals divisor × quotient, so the quotient is always whole — 4352 ÷ 16 is exactly 272. Keeping the answers exact means a bad estimate shows itself at once: the subtraction goes negative or leaves more than the divisor, and the child knows to try again. Remainders are held back on purpose so that the estimating, not the leftover, is what the sheet trains.

How this one works

One question from this sheet, worked through a step at a time.

3696 ÷ 88

42 883696 3521761760
  1. 3696 shared into groups of 88. Long division starts at the LEFT — the other way round from adding.
  2. Start at the left. How many 88s fit into 369? 4 of them — write the 4 on top. 4 × 88 = 352, and 369 − 352 leaves 17. Bring down the 6, which makes 176.
  3. How many 88s fit into 176? 2 — write it on top. 2 × 88 = 176, and 176 − 176 leaves 0.
  4. Nothing is left to bring down and nothing is left over. 3696 ÷ 88 = 42.