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What is the quotient and remainder when $ 1344 $ is divided by $ 64 $ ?
Answer
The quotient is 21 and the remainder is 0.
Explanation
Division Table
|
| | 0 | 0 | 2 | 1 |
6 | 4 | 1 | 3 | 4 | 4 |
| – | 0 | | | |
| | 1 | 3 | | |
| | – | 0 | | |
| | 1 | 3 | 4 | |
| – | 1 | 2 | 8 | |
| | | | 6 | 4 |
| | | – | 6 | 4 |
| | | | | 0 |
STEP 0: set up a division table
|
| | | | | |
6 | 4 | 1 | 3 | 4 | 4 |
STEP 1: DIVIDE 1 : 64 = 0 with a remainder of 1
|
| | 0 | | | |
6 | 4 | 1 | 3 | 4 | 4 |
STEP 2: MULTIPLY 0 · 64 = 0
|
| | 0 | | | |
6 | 4 | 1 | 3 | 4 | 4 |
| | 0 | | | |
STEP 3: SUBTRACT 1 - 0 = 1
|
| | 0 | | | |
6 | 4 | 1 | 3 | 4 | 4 |
| – | 0 | | | |
| | 1 | | | |
STEP 4: BRING DOWN
|
| | 0 | | | |
6 | 4 | 1 | 3 | 4 | 4 |
| – | 0 | | | |
| | 1 | 3 | | |
STEP 5: DIVIDE 13 : 64 = 0 with a remainder of 13
|
| | 0 | 0 | | |
6 | 4 | 1 | 3 | 4 | 4 |
| – | 0 | | | |
| | 1 | 3 | | |
STEP 6: MULTIPLY 0 · 64 = 0
|
| | 0 | 0 | | |
6 | 4 | 1 | 3 | 4 | 4 |
| – | 0 | | | |
| | 1 | 3 | | |
| | | 0 | | |
STEP 7: SUBTRACT 13 - 0 = 13
|
| | 0 | 0 | | |
6 | 4 | 1 | 3 | 4 | 4 |
| – | 0 | | | |
| | 1 | 3 | | |
| | – | 0 | | |
| | 1 | 3 | | |
STEP 8: BRING DOWN
|
| | 0 | 0 | | |
6 | 4 | 1 | 3 | 4 | 4 |
| – | 0 | | | |
| | 1 | 3 | | |
| | – | 0 | | |
| | 1 | 3 | 4 | |
STEP 9: DIVIDE 134 : 64 = 2 with a remainder of 6
|
| | 0 | 0 | 2 | |
6 | 4 | 1 | 3 | 4 | 4 |
| – | 0 | | | |
| | 1 | 3 | | |
| | – | 0 | | |
| | 1 | 3 | 4 | |
STEP 10: MULTIPLY 2 · 64 = 128
|
| | 0 | 0 | 2 | |
6 | 4 | 1 | 3 | 4 | 4 |
| – | 0 | | | |
| | 1 | 3 | | |
| | – | 0 | | |
| | 1 | 3 | 4 | |
| | 1 | 2 | 8 | |
STEP 11: SUBTRACT 134 - 128 = 6
|
| | 0 | 0 | 2 | |
6 | 4 | 1 | 3 | 4 | 4 |
| – | 0 | | | |
| | 1 | 3 | | |
| | – | 0 | | |
| | 1 | 3 | 4 | |
| – | 1 | 2 | 8 | |
| | | | 6 | |
STEP 12: BRING DOWN
|
| | 0 | 0 | 2 | |
6 | 4 | 1 | 3 | 4 | 4 |
| – | 0 | | | |
| | 1 | 3 | | |
| | – | 0 | | |
| | 1 | 3 | 4 | |
| – | 1 | 2 | 8 | |
| | | | 6 | 4 |
STEP 13: DIVIDE 64 : 64 = 1 with a remainder of 0
|
| | 0 | 0 | 2 | 1 |
6 | 4 | 1 | 3 | 4 | 4 |
| – | 0 | | | |
| | 1 | 3 | | |
| | – | 0 | | |
| | 1 | 3 | 4 | |
| – | 1 | 2 | 8 | |
| | | | 6 | 4 |
STEP 14: MULTIPLY 1 · 64 = 64
|
| | 0 | 0 | 2 | 1 |
6 | 4 | 1 | 3 | 4 | 4 |
| – | 0 | | | |
| | 1 | 3 | | |
| | – | 0 | | |
| | 1 | 3 | 4 | |
| – | 1 | 2 | 8 | |
| | | | 6 | 4 |
| | | | 6 | 4 |
STEP 15: SUBTRACT 64 - 64 = 0
|
| | 0 | 0 | 2 | 1 |
6 | 4 | 1 | 3 | 4 | 4 |
| – | 0 | | | |
| | 1 | 3 | | |
| | – | 0 | | |
| | 1 | 3 | 4 | |
| – | 1 | 2 | 8 | |
| | | | 6 | 4 |
| | | – | 6 | 4 |
| | | | | 0 |
STEP 15: SUBTRACT 64 - 64 = 0
|
| | 0 | 0 | 2 | 1 |
6 | 4 | 1 | 3 | 4 | 4 |
| – | 0 | | | |
| | 1 | 3 | | |
| | – | 0 | | |
| | 1 | 3 | 4 | |
| – | 1 | 2 | 8 | |
| | | | 6 | 4 |
| | | – | 6 | 4 |
| | | | | 0 |
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