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Question
What is the quotient and remainder when $ 3120 $ is divided by $ 64 $ ?
Answer
The quotient is 48 and the remainder is 48.
Explanation
Division Table
|
| | 0 | 0 | 4 | 8 |
6 | 4 | 3 | 1 | 2 | 0 |
| – | 0 | | | |
| | 3 | 1 | | |
| | – | 0 | | |
| | 3 | 1 | 2 | |
| – | 2 | 5 | 6 | |
| | | 5 | 6 | 0 |
| | – | 5 | 1 | 2 |
| | | | 4 | 8 |
STEP 0: set up a division table
|
| | | | | |
6 | 4 | 3 | 1 | 2 | 0 |
STEP 1: DIVIDE 3 : 64 = 0 with a remainder of 3
|
| | 0 | | | |
6 | 4 | 3 | 1 | 2 | 0 |
STEP 2: MULTIPLY 0 · 64 = 0
|
| | 0 | | | |
6 | 4 | 3 | 1 | 2 | 0 |
| | 0 | | | |
STEP 3: SUBTRACT 3 - 0 = 3
|
| | 0 | | | |
6 | 4 | 3 | 1 | 2 | 0 |
| – | 0 | | | |
| | 3 | | | |
STEP 4: BRING DOWN
|
| | 0 | | | |
6 | 4 | 3 | 1 | 2 | 0 |
| – | 0 | | | |
| | 3 | 1 | | |
STEP 5: DIVIDE 31 : 64 = 0 with a remainder of 31
|
| | 0 | 0 | | |
6 | 4 | 3 | 1 | 2 | 0 |
| – | 0 | | | |
| | 3 | 1 | | |
STEP 6: MULTIPLY 0 · 64 = 0
|
| | 0 | 0 | | |
6 | 4 | 3 | 1 | 2 | 0 |
| – | 0 | | | |
| | 3 | 1 | | |
| | | 0 | | |
STEP 7: SUBTRACT 31 - 0 = 31
|
| | 0 | 0 | | |
6 | 4 | 3 | 1 | 2 | 0 |
| – | 0 | | | |
| | 3 | 1 | | |
| | – | 0 | | |
| | 3 | 1 | | |
STEP 8: BRING DOWN
|
| | 0 | 0 | | |
6 | 4 | 3 | 1 | 2 | 0 |
| – | 0 | | | |
| | 3 | 1 | | |
| | – | 0 | | |
| | 3 | 1 | 2 | |
STEP 9: DIVIDE 312 : 64 = 4 with a remainder of 56
|
| | 0 | 0 | 4 | |
6 | 4 | 3 | 1 | 2 | 0 |
| – | 0 | | | |
| | 3 | 1 | | |
| | – | 0 | | |
| | 3 | 1 | 2 | |
STEP 10: MULTIPLY 4 · 64 = 256
|
| | 0 | 0 | 4 | |
6 | 4 | 3 | 1 | 2 | 0 |
| – | 0 | | | |
| | 3 | 1 | | |
| | – | 0 | | |
| | 3 | 1 | 2 | |
| | 2 | 5 | 6 | |
STEP 11: SUBTRACT 312 - 256 = 56
|
| | 0 | 0 | 4 | |
6 | 4 | 3 | 1 | 2 | 0 |
| – | 0 | | | |
| | 3 | 1 | | |
| | – | 0 | | |
| | 3 | 1 | 2 | |
| – | 2 | 5 | 6 | |
| | | 5 | 6 | |
STEP 12: BRING DOWN
|
| | 0 | 0 | 4 | |
6 | 4 | 3 | 1 | 2 | 0 |
| – | 0 | | | |
| | 3 | 1 | | |
| | – | 0 | | |
| | 3 | 1 | 2 | |
| – | 2 | 5 | 6 | |
| | | 5 | 6 | 0 |
STEP 13: DIVIDE 560 : 64 = 8 with a remainder of 48
|
| | 0 | 0 | 4 | 8 |
6 | 4 | 3 | 1 | 2 | 0 |
| – | 0 | | | |
| | 3 | 1 | | |
| | – | 0 | | |
| | 3 | 1 | 2 | |
| – | 2 | 5 | 6 | |
| | | 5 | 6 | 0 |
STEP 14: MULTIPLY 8 · 64 = 512
|
| | 0 | 0 | 4 | 8 |
6 | 4 | 3 | 1 | 2 | 0 |
| – | 0 | | | |
| | 3 | 1 | | |
| | – | 0 | | |
| | 3 | 1 | 2 | |
| – | 2 | 5 | 6 | |
| | | 5 | 6 | 0 |
| | | 5 | 1 | 2 |
STEP 15: SUBTRACT 560 - 512 = 48
|
| | 0 | 0 | 4 | 8 |
6 | 4 | 3 | 1 | 2 | 0 |
| – | 0 | | | |
| | 3 | 1 | | |
| | – | 0 | | |
| | 3 | 1 | 2 | |
| – | 2 | 5 | 6 | |
| | | 5 | 6 | 0 |
| | – | 5 | 1 | 2 |
| | | | 4 | 8 |
STEP 15: SUBTRACT 560 - 512 = 48
|
| | 0 | 0 | 4 | 8 |
6 | 4 | 3 | 1 | 2 | 0 |
| – | 0 | | | |
| | 3 | 1 | | |
| | – | 0 | | |
| | 3 | 1 | 2 | |
| – | 2 | 5 | 6 | |
| | | 5 | 6 | 0 |
| | – | 5 | 1 | 2 |
| | | | 4 | 8 |
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