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What is the quotient and remainder when $ 108 $ is divided by $ 63 $ ?
Answer
The quotient is 1 and the remainder is 45.
Explanation
Division Table
|
| | 0 | 0 | 1 |
6 | 3 | 1 | 0 | 8 |
| – | 0 | | |
| | 1 | 0 | |
| | – | 0 | |
| | 1 | 0 | 8 |
| | – | 6 | 3 |
| | | 4 | 5 |
STEP 0: set up a division table
|
| | | | |
6 | 3 | 1 | 0 | 8 |
STEP 1: DIVIDE 1 : 63 = 0 with a remainder of 1
|
| | 0 | | |
6 | 3 | 1 | 0 | 8 |
STEP 2: MULTIPLY 0 · 63 = 0
|
| | 0 | | |
6 | 3 | 1 | 0 | 8 |
| | 0 | | |
STEP 3: SUBTRACT 1 - 0 = 1
|
| | 0 | | |
6 | 3 | 1 | 0 | 8 |
| – | 0 | | |
| | 1 | | |
STEP 4: BRING DOWN
|
| | 0 | | |
6 | 3 | 1 | 0 | 8 |
| – | 0 | | |
| | 1 | 0 | |
STEP 5: DIVIDE 10 : 63 = 0 with a remainder of 10
|
| | 0 | 0 | |
6 | 3 | 1 | 0 | 8 |
| – | 0 | | |
| | 1 | 0 | |
STEP 6: MULTIPLY 0 · 63 = 0
|
| | 0 | 0 | |
6 | 3 | 1 | 0 | 8 |
| – | 0 | | |
| | 1 | 0 | |
| | | 0 | |
STEP 7: SUBTRACT 10 - 0 = 10
|
| | 0 | 0 | |
6 | 3 | 1 | 0 | 8 |
| – | 0 | | |
| | 1 | 0 | |
| | – | 0 | |
| | 1 | 0 | |
STEP 8: BRING DOWN
|
| | 0 | 0 | |
6 | 3 | 1 | 0 | 8 |
| – | 0 | | |
| | 1 | 0 | |
| | – | 0 | |
| | 1 | 0 | 8 |
STEP 9: DIVIDE 108 : 63 = 1 with a remainder of 45
|
| | 0 | 0 | 1 |
6 | 3 | 1 | 0 | 8 |
| – | 0 | | |
| | 1 | 0 | |
| | – | 0 | |
| | 1 | 0 | 8 |
STEP 10: MULTIPLY 1 · 63 = 63
|
| | 0 | 0 | 1 |
6 | 3 | 1 | 0 | 8 |
| – | 0 | | |
| | 1 | 0 | |
| | – | 0 | |
| | 1 | 0 | 8 |
| | | 6 | 3 |
STEP 11: SUBTRACT 108 - 63 = 45
|
| | 0 | 0 | 1 |
6 | 3 | 1 | 0 | 8 |
| – | 0 | | |
| | 1 | 0 | |
| | – | 0 | |
| | 1 | 0 | 8 |
| | – | 6 | 3 |
| | | 4 | 5 |
STEP 11: SUBTRACT 108 - 63 = 45
|
| | 0 | 0 | 1 |
6 | 3 | 1 | 0 | 8 |
| – | 0 | | |
| | 1 | 0 | |
| | – | 0 | |
| | 1 | 0 | 8 |
| | – | 6 | 3 |
| | | 4 | 5 |
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