How To Solve Division Problems

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This is 148 = 4 × 37, so a 4 is added to the top as the next quotient digit.

Then the result of the subtraction is extended by another digit taken from the dividend: The greatest multiple of 37 less than or equal to 22 is 0 × 37 = 0.

The combination of these two symbols is sometimes known as a long division symbol or division bracket.

The process is begun by dividing the left-most digit of the dividend by the divisor.

Subtracting 0 from 22 gives 22, we often don't write the subtraction step.

Instead, we simply take another digit from the dividend: Each of the four columns is worked in turn. No further division is possible, so perform a long multiplication by 1,760 to convert miles to yards, the result is 22,880 yards.

The quotient (rounded down to an integer) becomes the first digit of the result, and the remainder is calculated (this step is notated as a subtraction).

This remainder carries forward when the process is repeated on the following digit of the dividend (notated as 'bringing down' the next digit to the remainder).

This article is about elementary handwritten division.

For mathematical definition and properties, see Division (mathematics) and Euclidean division. For other uses, see Long division (disambiguation).


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