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What is the quotient and remainder when $ 8352 $ is divided by $ 134 $ ?
Answer
The quotient is 62 and the remainder is 44.
Explanation
Division Table
|
| | | 0 | 0 | 6 | 2 |
1 | 3 | 4 | 8 | 3 | 5 | 2 |
| | – | 0 | | | |
| | | 8 | 3 | | |
| | | – | 0 | | |
| | | 8 | 3 | 5 | |
| | – | 8 | 0 | 4 | |
| | | | 3 | 1 | 2 |
| | | – | 2 | 6 | 8 |
| | | | | 4 | 4 |
STEP 0: set up a division table
|
| | | | | | |
1 | 3 | 4 | 8 | 3 | 5 | 2 |
STEP 1: DIVIDE 8 : 134 = 0 with a remainder of 8
|
| | | 0 | | | |
1 | 3 | 4 | 8 | 3 | 5 | 2 |
STEP 2: MULTIPLY 0 · 134 = 0
|
| | | 0 | | | |
1 | 3 | 4 | 8 | 3 | 5 | 2 |
| | | 0 | | | |
STEP 3: SUBTRACT 8 - 0 = 8
|
| | | 0 | | | |
1 | 3 | 4 | 8 | 3 | 5 | 2 |
| | – | 0 | | | |
| | | 8 | | | |
STEP 4: BRING DOWN
|
| | | 0 | | | |
1 | 3 | 4 | 8 | 3 | 5 | 2 |
| | – | 0 | | | |
| | | 8 | 3 | | |
STEP 5: DIVIDE 83 : 134 = 0 with a remainder of 83
|
| | | 0 | 0 | | |
1 | 3 | 4 | 8 | 3 | 5 | 2 |
| | – | 0 | | | |
| | | 8 | 3 | | |
STEP 6: MULTIPLY 0 · 134 = 0
|
| | | 0 | 0 | | |
1 | 3 | 4 | 8 | 3 | 5 | 2 |
| | – | 0 | | | |
| | | 8 | 3 | | |
| | | | 0 | | |
STEP 7: SUBTRACT 83 - 0 = 83
|
| | | 0 | 0 | | |
1 | 3 | 4 | 8 | 3 | 5 | 2 |
| | – | 0 | | | |
| | | 8 | 3 | | |
| | | – | 0 | | |
| | | 8 | 3 | | |
STEP 8: BRING DOWN
|
| | | 0 | 0 | | |
1 | 3 | 4 | 8 | 3 | 5 | 2 |
| | – | 0 | | | |
| | | 8 | 3 | | |
| | | – | 0 | | |
| | | 8 | 3 | 5 | |
STEP 9: DIVIDE 835 : 134 = 6 with a remainder of 31
|
| | | 0 | 0 | 6 | |
1 | 3 | 4 | 8 | 3 | 5 | 2 |
| | – | 0 | | | |
| | | 8 | 3 | | |
| | | – | 0 | | |
| | | 8 | 3 | 5 | |
STEP 10: MULTIPLY 6 · 134 = 804
|
| | | 0 | 0 | 6 | |
1 | 3 | 4 | 8 | 3 | 5 | 2 |
| | – | 0 | | | |
| | | 8 | 3 | | |
| | | – | 0 | | |
| | | 8 | 3 | 5 | |
| | | 8 | 0 | 4 | |
STEP 11: SUBTRACT 835 - 804 = 31
|
| | | 0 | 0 | 6 | |
1 | 3 | 4 | 8 | 3 | 5 | 2 |
| | – | 0 | | | |
| | | 8 | 3 | | |
| | | – | 0 | | |
| | | 8 | 3 | 5 | |
| | – | 8 | 0 | 4 | |
| | | | 3 | 1 | |
STEP 12: BRING DOWN
|
| | | 0 | 0 | 6 | |
1 | 3 | 4 | 8 | 3 | 5 | 2 |
| | – | 0 | | | |
| | | 8 | 3 | | |
| | | – | 0 | | |
| | | 8 | 3 | 5 | |
| | – | 8 | 0 | 4 | |
| | | | 3 | 1 | 2 |
STEP 13: DIVIDE 312 : 134 = 2 with a remainder of 44
|
| | | 0 | 0 | 6 | 2 |
1 | 3 | 4 | 8 | 3 | 5 | 2 |
| | – | 0 | | | |
| | | 8 | 3 | | |
| | | – | 0 | | |
| | | 8 | 3 | 5 | |
| | – | 8 | 0 | 4 | |
| | | | 3 | 1 | 2 |
STEP 14: MULTIPLY 2 · 134 = 268
|
| | | 0 | 0 | 6 | 2 |
1 | 3 | 4 | 8 | 3 | 5 | 2 |
| | – | 0 | | | |
| | | 8 | 3 | | |
| | | – | 0 | | |
| | | 8 | 3 | 5 | |
| | – | 8 | 0 | 4 | |
| | | | 3 | 1 | 2 |
| | | | 2 | 6 | 8 |
STEP 15: SUBTRACT 312 - 268 = 44
|
| | | 0 | 0 | 6 | 2 |
1 | 3 | 4 | 8 | 3 | 5 | 2 |
| | – | 0 | | | |
| | | 8 | 3 | | |
| | | – | 0 | | |
| | | 8 | 3 | 5 | |
| | – | 8 | 0 | 4 | |
| | | | 3 | 1 | 2 |
| | | – | 2 | 6 | 8 |
| | | | | 4 | 4 |
STEP 15: SUBTRACT 312 - 268 = 44
|
| | | 0 | 0 | 6 | 2 |
1 | 3 | 4 | 8 | 3 | 5 | 2 |
| | – | 0 | | | |
| | | 8 | 3 | | |
| | | – | 0 | | |
| | | 8 | 3 | 5 | |
| | – | 8 | 0 | 4 | |
| | | | 3 | 1 | 2 |
| | | – | 2 | 6 | 8 |
| | | | | 4 | 4 |
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