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What is the quotient and remainder when $ 972 $ is divided by $ 16 $ ?
Answer
The quotient is 60 and the remainder is 12.
Explanation
Division Table
|
| | 0 | 6 | 0 |
1 | 6 | 9 | 7 | 2 |
| – | 0 | | |
| | 9 | 7 | |
| – | 9 | 6 | |
| | | 1 | 2 |
| | | – | 0 |
| | | 1 | 2 |
STEP 0: set up a division table
|
| | | | |
1 | 6 | 9 | 7 | 2 |
STEP 1: DIVIDE 9 : 16 = 0 with a remainder of 9
|
| | 0 | | |
1 | 6 | 9 | 7 | 2 |
STEP 2: MULTIPLY 0 · 16 = 0
|
| | 0 | | |
1 | 6 | 9 | 7 | 2 |
| | 0 | | |
STEP 3: SUBTRACT 9 - 0 = 9
|
| | 0 | | |
1 | 6 | 9 | 7 | 2 |
| – | 0 | | |
| | 9 | | |
STEP 4: BRING DOWN
|
| | 0 | | |
1 | 6 | 9 | 7 | 2 |
| – | 0 | | |
| | 9 | 7 | |
STEP 5: DIVIDE 97 : 16 = 6 with a remainder of 1
|
| | 0 | 6 | |
1 | 6 | 9 | 7 | 2 |
| – | 0 | | |
| | 9 | 7 | |
STEP 6: MULTIPLY 6 · 16 = 96
|
| | 0 | 6 | |
1 | 6 | 9 | 7 | 2 |
| – | 0 | | |
| | 9 | 7 | |
| | 9 | 6 | |
STEP 7: SUBTRACT 97 - 96 = 1
|
| | 0 | 6 | |
1 | 6 | 9 | 7 | 2 |
| – | 0 | | |
| | 9 | 7 | |
| – | 9 | 6 | |
| | | 1 | |
STEP 8: BRING DOWN
|
| | 0 | 6 | |
1 | 6 | 9 | 7 | 2 |
| – | 0 | | |
| | 9 | 7 | |
| – | 9 | 6 | |
| | | 1 | 2 |
STEP 9: DIVIDE 12 : 16 = 0 with a remainder of 12
|
| | 0 | 6 | 0 |
1 | 6 | 9 | 7 | 2 |
| – | 0 | | |
| | 9 | 7 | |
| – | 9 | 6 | |
| | | 1 | 2 |
STEP 10: MULTIPLY 0 · 16 = 0
|
| | 0 | 6 | 0 |
1 | 6 | 9 | 7 | 2 |
| – | 0 | | |
| | 9 | 7 | |
| – | 9 | 6 | |
| | | 1 | 2 |
| | | | 0 |
STEP 11: SUBTRACT 12 - 0 = 12
|
| | 0 | 6 | 0 |
1 | 6 | 9 | 7 | 2 |
| – | 0 | | |
| | 9 | 7 | |
| – | 9 | 6 | |
| | | 1 | 2 |
| | | – | 0 |
| | | 1 | 2 |
STEP 11: SUBTRACT 12 - 0 = 12
|
| | 0 | 6 | 0 |
1 | 6 | 9 | 7 | 2 |
| – | 0 | | |
| | 9 | 7 | |
| – | 9 | 6 | |
| | | 1 | 2 |
| | | – | 0 |
| | | 1 | 2 |
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