Math

QuestionDivide 248 by 26 and verify your answer by multiplication.

Studdy Solution

STEP 1

Assumptions1. We are asked to divide,868 by24. We will check our answer by multiplying the quotient by the divisor

STEP 2

Start the division process by setting up the long division.
24 \longdiv {2 ,868 }

STEP 3

Divide the first number of the dividend (2) by the divisor (24). Since2 is less than24, we cannot divide it by24. Therefore, we take the first two numbers of the dividend (28) and divide by the divisor.
28÷24=128 \div24 =1

STEP 4

Write the quotient (1) above the line and multiply the divisor (24) by the quotient (1).
24×1=2424 \times1 =24

STEP 5

Subtract the result from the dividend (28).
2824=428 -24 =4

STEP 6

Bring down the next number from the dividend (6).
4646

STEP 7

Repeat the division process with the new number (46). Divide46 by24.
46÷24=146 \div24 =1

STEP 8

Write the quotient (1) above the line and multiply the divisor (24) by the quotient (1).
24×1=2424 \times1 =24

STEP 9

Subtract the result from the dividend (46).
4624=2246 -24 =22

STEP 10

Bring down the next number from the dividend (8).
228228

STEP 11

Repeat the division process with the new number (228). Divide228 by24.
228÷24=9228 \div24 =9

STEP 12

Write the quotient (9) above the line and multiply the divisor (24) by the quotient (9).
24×9=21624 \times9 =216

STEP 13

Subtract the result from the dividend (228).
228216=12228 -216 =12

STEP 14

The remainder (12) is less than the divisor (24), so we stop the division process. The quotient is119 and the remainder is12.

STEP 15

To check our answer, we multiply the quotient (119) by the divisor (24) and add the remainder (12).
119×24+12=2,868119 \times24 +12 =2,868

STEP 16

Since the result matches the original dividend (2,868), our answer is correct. The quotient of2,868 divided by24 is119 with a remainder of12.

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