Parts of a Division Problem

One division, 85 ÷ 4 = 21 r 1, in three ways: 7 parts to name.

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1 2 3 4 5 6 7
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Each numbered ring is a button. Use the arrow keys to move between them and Enter to choose. Names are read out in Study, and once a part is answered.

All 7 parts on the diagram

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Start here: the 4 numbers 4

  1. Dividend What is being divided: 85 here. It comes first across, on top of a fraction, and inside the bracket in long division.
  2. Divisor The number the dividend is divided by: 4 here. It comes after the sign, under the fraction bar, and outside the bracket.
  3. Quotient The result of the division: 21 here. It comes after the equals sign, or above the bracket in long division.
  4. Remainder What is left when the divisor does not go in exactly. 85 = 4 × 21 + 1, so the remainder is 1. It is written after an r.

The three signs 3

  1. Division sign The ÷ sign, also called the obelus, used mostly in elementary arithmetic.
  2. Fraction bar The horizontal line between the dividend on top and the divisor below. 85 over 4 means 85 divided by 4.
  3. Division bracket The long division symbol. The divisor sits outside, the dividend inside, and the quotient on top.

How this list was compiled: Read 2026-09-26. Wikipedia, Division (mathematics), https://en.wikipedia.org/wiki/Division_(mathematics) : what is divided is the dividend, divided by the divisor, the result the quotient; division with remainder giving an integer quotient and a remainder; the division sign (÷, also known as obelus), common in elementary arithmetic; the dividend over the divisor, split by a line called a fraction bar; the long division notation with the divisor outside the bracket. The example is checked: 4 × 21 + 1 = 85. Licence: own work

The drawing: Drawn for this site by script, 2026-09-26. Own work. Licence: own work

How it works

The parts of a division on one example written three ways: across with the division sign, as a fraction, and as long division. The same four numbers sit in a different place each time.

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The four numbers

The dividend is the number being divided, 85. The divisor is what you divide by, 4. The quotient is the answer, 21, and the remainder is what is left over, 1, because 4 × 21 + 1 = 85.

Three ways to write it

Across, the division sign sits between the dividend and divisor. As a fraction, the dividend goes over the fraction bar and the divisor under it. In long division the divisor sits outside the bracket, the dividend inside, and the quotient on top.

  • Check any division by multiplying back: quotient × divisor + remainder = dividend.

Questions and answers

What is the difference between the dividend and the divisor?

The dividend is the number being divided and the divisor is the number you divide it by. In 85 ÷ 4, the dividend is 85 and the divisor is 4.

What is the answer to a division called?

The quotient. If the divisor does not go in exactly, what is left over is the remainder.

Where does each number go in long division?

The divisor goes outside the bracket on the left, the dividend inside it, and the quotient on top of the bracket.