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Question
What is the quotient and remainder when $ 7884 $ is divided by $ 9 $ ?
Answer
The quotient is 876 and the remainder is 0.
Explanation
Division Table
|
| 0 | 8 | 7 | 6 |
9 | 7 | 8 | 8 | 4 |
– | 0 | | | |
| 7 | 8 | | |
– | 7 | 2 | | |
| | 6 | 8 | |
| – | 6 | 3 | |
| | | 5 | 4 |
| | – | 5 | 4 |
| | | | 0 |
STEP 0: set up a division table
|
| | | | |
9 | 7 | 8 | 8 | 4 |
STEP 1: DIVIDE 7 : 9 = 0 with a remainder of 7
|
| 0 | | | |
9 | 7 | 8 | 8 | 4 |
STEP 2: MULTIPLY 0 · 9 = 0
|
| 0 | | | |
9 | 7 | 8 | 8 | 4 |
| 0 | | | |
STEP 3: SUBTRACT 7 - 0 = 7
|
| 0 | | | |
9 | 7 | 8 | 8 | 4 |
– | 0 | | | |
| 7 | | | |
STEP 4: BRING DOWN
|
| 0 | | | |
9 | 7 | 8 | 8 | 4 |
– | 0 | | | |
| 7 | 8 | | |
STEP 5: DIVIDE 78 : 9 = 8 with a remainder of 6
|
| 0 | 8 | | |
9 | 7 | 8 | 8 | 4 |
– | 0 | | | |
| 7 | 8 | | |
STEP 6: MULTIPLY 8 · 9 = 72
|
| 0 | 8 | | |
9 | 7 | 8 | 8 | 4 |
– | 0 | | | |
| 7 | 8 | | |
| 7 | 2 | | |
STEP 7: SUBTRACT 78 - 72 = 6
|
| 0 | 8 | | |
9 | 7 | 8 | 8 | 4 |
– | 0 | | | |
| 7 | 8 | | |
– | 7 | 2 | | |
| | 6 | | |
STEP 8: BRING DOWN
|
| 0 | 8 | | |
9 | 7 | 8 | 8 | 4 |
– | 0 | | | |
| 7 | 8 | | |
– | 7 | 2 | | |
| | 6 | 8 | |
STEP 9: DIVIDE 68 : 9 = 7 with a remainder of 5
|
| 0 | 8 | 7 | |
9 | 7 | 8 | 8 | 4 |
– | 0 | | | |
| 7 | 8 | | |
– | 7 | 2 | | |
| | 6 | 8 | |
STEP 10: MULTIPLY 7 · 9 = 63
|
| 0 | 8 | 7 | |
9 | 7 | 8 | 8 | 4 |
– | 0 | | | |
| 7 | 8 | | |
– | 7 | 2 | | |
| | 6 | 8 | |
| | 6 | 3 | |
STEP 11: SUBTRACT 68 - 63 = 5
|
| 0 | 8 | 7 | |
9 | 7 | 8 | 8 | 4 |
– | 0 | | | |
| 7 | 8 | | |
– | 7 | 2 | | |
| | 6 | 8 | |
| – | 6 | 3 | |
| | | 5 | |
STEP 12: BRING DOWN
|
| 0 | 8 | 7 | |
9 | 7 | 8 | 8 | 4 |
– | 0 | | | |
| 7 | 8 | | |
– | 7 | 2 | | |
| | 6 | 8 | |
| – | 6 | 3 | |
| | | 5 | 4 |
STEP 13: DIVIDE 54 : 9 = 6 with a remainder of 0
|
| 0 | 8 | 7 | 6 |
9 | 7 | 8 | 8 | 4 |
– | 0 | | | |
| 7 | 8 | | |
– | 7 | 2 | | |
| | 6 | 8 | |
| – | 6 | 3 | |
| | | 5 | 4 |
STEP 14: MULTIPLY 6 · 9 = 54
|
| 0 | 8 | 7 | 6 |
9 | 7 | 8 | 8 | 4 |
– | 0 | | | |
| 7 | 8 | | |
– | 7 | 2 | | |
| | 6 | 8 | |
| – | 6 | 3 | |
| | | 5 | 4 |
| | | 5 | 4 |
STEP 15: SUBTRACT 54 - 54 = 0
|
| 0 | 8 | 7 | 6 |
9 | 7 | 8 | 8 | 4 |
– | 0 | | | |
| 7 | 8 | | |
– | 7 | 2 | | |
| | 6 | 8 | |
| – | 6 | 3 | |
| | | 5 | 4 |
| | – | 5 | 4 |
| | | | 0 |
STEP 15: SUBTRACT 54 - 54 = 0
|
| 0 | 8 | 7 | 6 |
9 | 7 | 8 | 8 | 4 |
– | 0 | | | |
| 7 | 8 | | |
– | 7 | 2 | | |
| | 6 | 8 | |
| – | 6 | 3 | |
| | | 5 | 4 |
| | – | 5 | 4 |
| | | | 0 |
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