Convert 632
6/32
to a decimal using long division.(1 point)
Responses
632 divided by 6 is 105.3333333333333333333333333333333333333333333333333333333.
To convert 632 to a decimal using long division, follow these steps:
Step 1: Place the dividend (632) inside the long division bracket.
_______
32 | 632
Step 2: Divide the first digit of the dividend (6) by the divisor (32). The quotient should be placed above the division bracket.
19
________
32 | 632
Step 3: Multiply the divisor (32) by the quotient (19) and subtract the result from the dividend (632).
19
---------
32 | 632
- 608
Step 4: Bring down the next digit from the dividend (2) and add it to the result of the subtraction.
19
---------
32 | 632
- 608
24
Step 5: Divide the new number (242) by the divisor (32) and place the new quotient above the division bracket.
19
---------
32 | 632
- 608
24
_______
Step 6: Multiply the divisor (32) by the new quotient (19) and subtract the result from the new number (242).
19
---------
32 | 632
- 608
24
- 224
_______
Step 7: There are no more digits to bring down from the dividend. The resulting number (18) is the remainder.
19
---------
32 | 632
- 608
24
- 224
_______
18
Step 8: The decimal representation of the original number 632 is 19.625.
Therefore, 632/32 = 19.625.