how do you show your work for long division this is the question 61.2 % -7.2

To show your work for long division in order to solve the question 61.2 % -7.2, follow these steps:

Step 1: Write the problem vertically. The dividend (number being divided), which is 61.2 in this case, is written under the long division symbol, and the divisor (number performing division), which is -7.2 in this case, is written to the left of the division symbol.

-7.2 │ 61.2

Step 2: Start dividing. Ask yourself, how many times does -7.2 go into 61.2? To find the answer, divide the absolute values of both numbers, then consider the sign.

|-7.2| = 7.2
|61.2| = 61.2

Since both numbers are positive, the quotient will be positive.

Divide 61.2 by 7.2 and round to the nearest whole number:

61.2 ÷ 7.2 ≈ 8

Step 3: Multiply and subtract. Multiply the quotient (8) by the divisor (-7.2), and write the product below the dividend. Then subtract the result from the dividend.

-7.2 │ 61.2
-57.6 (8 × -7.2)

______
3.6

Step 4: Bring down the next digit. If there are any remaining digits in the dividend, write down the next digit to the right of the result of the subtraction.

-7.2 │ 61.2
-57.6 (8 × -7.2)

______
3.6

0

Step 5: Repeat the process. Divide the new number (3.6) by the same divisor (-7.2) as before.

|-7.2| = 7.2
|3.6| = 3.6

Since both numbers are positive, the quotient will be positive.

Divide 3.6 by 7.2:

3.6 ÷ 7.2 = 0.5

Step 6: Multiply and subtract again. Multiply the new quotient (0.5) by the divisor (-7.2), then subtract the result from the previous result.

-7.2 │ 61.2
-57.6 (8 × -7.2)
0.0 (0.5 × -7.2)

______
3.6
-3.6

______
0.0

Step 7: Analyze the result. When the subtraction results in zero, we have finished dividing. The final result of long division is 8.5.

Therefore, 61.2 % -7.2 = 8.5.