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 Dependent Variable

 Number of inequalities to solve: 23456789
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# Dividing Whole Numbers with Long Division

Long division, which is used to divide numbers of more than one digit, is really just a series of simple division, multiplication, and subtraction problems. The number that you divide is called the dividend. The number you divide the dividend by is the divisor. The answer to a division problem is called a quotient.

SAMPLE PROBLEM: Divide 564 by 12, or

 Step 1: Because you cannot divide 12 into 5, you must start by dividing 12 into 56. To do this, ask yourself, â€œWhat number multiplied by 12 comes closest to 56 without going over?â€ 4 Ã— 12 = 48, so place a 4 in the quotient. Step 2: Multiply the 4 by the divisor and place the product under the 56. Then subtract that product from 56. Step 3: Bring the next digit down from the dividend (4), and divide this new number (84) by the divisor, as you did in Step 1. Because 12 divides into 84 seven times, write 7 in the quotient.

The quotient is 47.