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What is the quotient and remainder when $ 8624 $ is divided by $ 98 $ ?
Answer
The quotient is 88 and the remainder is 0.
Explanation
Division Table
|
| | 0 | 0 | 8 | 8 |
9 | 8 | 8 | 6 | 2 | 4 |
| – | 0 | | | |
| | 8 | 6 | | |
| | – | 0 | | |
| | 8 | 6 | 2 | |
| – | 7 | 8 | 4 | |
| | | 7 | 8 | 4 |
| | – | 7 | 8 | 4 |
| | | | | 0 |
STEP 0: set up a division table
|
| | | | | |
9 | 8 | 8 | 6 | 2 | 4 |
STEP 1: DIVIDE 8 : 98 = 0 with a remainder of 8
|
| | 0 | | | |
9 | 8 | 8 | 6 | 2 | 4 |
STEP 2: MULTIPLY 0 · 98 = 0
|
| | 0 | | | |
9 | 8 | 8 | 6 | 2 | 4 |
| | 0 | | | |
STEP 3: SUBTRACT 8 - 0 = 8
|
| | 0 | | | |
9 | 8 | 8 | 6 | 2 | 4 |
| – | 0 | | | |
| | 8 | | | |
STEP 4: BRING DOWN
|
| | 0 | | | |
9 | 8 | 8 | 6 | 2 | 4 |
| – | 0 | | | |
| | 8 | 6 | | |
STEP 5: DIVIDE 86 : 98 = 0 with a remainder of 86
|
| | 0 | 0 | | |
9 | 8 | 8 | 6 | 2 | 4 |
| – | 0 | | | |
| | 8 | 6 | | |
STEP 6: MULTIPLY 0 · 98 = 0
|
| | 0 | 0 | | |
9 | 8 | 8 | 6 | 2 | 4 |
| – | 0 | | | |
| | 8 | 6 | | |
| | | 0 | | |
STEP 7: SUBTRACT 86 - 0 = 86
|
| | 0 | 0 | | |
9 | 8 | 8 | 6 | 2 | 4 |
| – | 0 | | | |
| | 8 | 6 | | |
| | – | 0 | | |
| | 8 | 6 | | |
STEP 8: BRING DOWN
|
| | 0 | 0 | | |
9 | 8 | 8 | 6 | 2 | 4 |
| – | 0 | | | |
| | 8 | 6 | | |
| | – | 0 | | |
| | 8 | 6 | 2 | |
STEP 9: DIVIDE 862 : 98 = 8 with a remainder of 78
|
| | 0 | 0 | 8 | |
9 | 8 | 8 | 6 | 2 | 4 |
| – | 0 | | | |
| | 8 | 6 | | |
| | – | 0 | | |
| | 8 | 6 | 2 | |
STEP 10: MULTIPLY 8 · 98 = 784
|
| | 0 | 0 | 8 | |
9 | 8 | 8 | 6 | 2 | 4 |
| – | 0 | | | |
| | 8 | 6 | | |
| | – | 0 | | |
| | 8 | 6 | 2 | |
| | 7 | 8 | 4 | |
STEP 11: SUBTRACT 862 - 784 = 78
|
| | 0 | 0 | 8 | |
9 | 8 | 8 | 6 | 2 | 4 |
| – | 0 | | | |
| | 8 | 6 | | |
| | – | 0 | | |
| | 8 | 6 | 2 | |
| – | 7 | 8 | 4 | |
| | | 7 | 8 | |
STEP 12: BRING DOWN
|
| | 0 | 0 | 8 | |
9 | 8 | 8 | 6 | 2 | 4 |
| – | 0 | | | |
| | 8 | 6 | | |
| | – | 0 | | |
| | 8 | 6 | 2 | |
| – | 7 | 8 | 4 | |
| | | 7 | 8 | 4 |
STEP 13: DIVIDE 784 : 98 = 8 with a remainder of 0
|
| | 0 | 0 | 8 | 8 |
9 | 8 | 8 | 6 | 2 | 4 |
| – | 0 | | | |
| | 8 | 6 | | |
| | – | 0 | | |
| | 8 | 6 | 2 | |
| – | 7 | 8 | 4 | |
| | | 7 | 8 | 4 |
STEP 14: MULTIPLY 8 · 98 = 784
|
| | 0 | 0 | 8 | 8 |
9 | 8 | 8 | 6 | 2 | 4 |
| – | 0 | | | |
| | 8 | 6 | | |
| | – | 0 | | |
| | 8 | 6 | 2 | |
| – | 7 | 8 | 4 | |
| | | 7 | 8 | 4 |
| | | 7 | 8 | 4 |
STEP 15: SUBTRACT 784 - 784 = 0
|
| | 0 | 0 | 8 | 8 |
9 | 8 | 8 | 6 | 2 | 4 |
| – | 0 | | | |
| | 8 | 6 | | |
| | – | 0 | | |
| | 8 | 6 | 2 | |
| – | 7 | 8 | 4 | |
| | | 7 | 8 | 4 |
| | – | 7 | 8 | 4 |
| | | | | 0 |
STEP 15: SUBTRACT 784 - 784 = 0
|
| | 0 | 0 | 8 | 8 |
9 | 8 | 8 | 6 | 2 | 4 |
| – | 0 | | | |
| | 8 | 6 | | |
| | – | 0 | | |
| | 8 | 6 | 2 | |
| – | 7 | 8 | 4 | |
| | | 7 | 8 | 4 |
| | – | 7 | 8 | 4 |
| | | | | 0 |
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