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Question
What is the quotient and remainder when $ 9261 $ is divided by $ 9 $ ?
Answer
The quotient is 1029 and the remainder is 0.
Explanation
|
Division Table
|
| | 1 | 0 | 2 | 9 |
| 9 | 9 | 2 | 6 | 1 |
| – | 9 | | | |
| | 2 | | | |
| – | 0 | | | |
| | 2 | 6 | | |
| – | 1 | 8 | | |
| | | 8 | 1 | |
| | – | 8 | 1 | |
| | | | 0 | |
STEP 0: set up a division table
|
| | | | | |
| 9 | 9 | 2 | 6 | 1 |
STEP 1: DIVIDE 9 : 9 = 1 with a remainder of 0
|
| | 1 | | | |
| 9 | 9 | 2 | 6 | 1 |
STEP 2: MULTIPLY 1 · 9 = 9
|
| | 1 | | | |
| 9 | 9 | 2 | 6 | 1 |
| | 9 | | | |
STEP 3: SUBTRACT 9 - 9 = 0
|
| | 1 | | | |
| 9 | 9 | 2 | 6 | 1 |
| – | 9 | | | |
| | 0 | | | |
|
STEP 4: BRING DOWN
|
| | 1 | | | |
| 9 | 9 | 2 | 6 | 1 |
| – | 9 | | | |
| | 2 | | | |
STEP 5: DIVIDE 2 : 9 = 0 with a remainder of 2
|
| | 1 | 0 | | |
| 9 | 9 | 2 | 6 | 1 |
| – | 9 | | | |
| | 2 | | | |
STEP 6: MULTIPLY 0 · 9 = 0
|
| | 1 | 0 | | |
| 9 | 9 | 2 | 6 | 1 |
| – | 9 | | | |
| | 2 | | | |
| | 0 | | | |
STEP 7: SUBTRACT 2 - 0 = 2
|
| | 1 | 0 | | |
| 9 | 9 | 2 | 6 | 1 |
| – | 9 | | | |
| | 2 | | | |
| – | 0 | | | |
| | 2 | | | |
|
STEP 8: BRING DOWN
|
| | 1 | 0 | | |
| 9 | 9 | 2 | 6 | 1 |
| – | 9 | | | |
| | 2 | | | |
| – | 0 | | | |
| | 2 | 6 | | |
STEP 9: DIVIDE 26 : 9 = 2 with a remainder of 8
|
| | 1 | 0 | 2 | |
| 9 | 9 | 2 | 6 | 1 |
| – | 9 | | | |
| | 2 | | | |
| – | 0 | | | |
| | 2 | 6 | | |
STEP 10: MULTIPLY 2 · 9 = 18
|
| | 1 | 0 | 2 | |
| 9 | 9 | 2 | 6 | 1 |
| – | 9 | | | |
| | 2 | | | |
| – | 0 | | | |
| | 2 | 6 | | |
| | 1 | 8 | | |
STEP 11: SUBTRACT 26 - 18 = 8
|
| | 1 | 0 | 2 | |
| 9 | 9 | 2 | 6 | 1 |
| – | 9 | | | |
| | 2 | | | |
| – | 0 | | | |
| | 2 | 6 | | |
| – | 1 | 8 | | |
| | | 8 | | |
|
STEP 12: BRING DOWN
|
| | 1 | 0 | 2 | |
| 9 | 9 | 2 | 6 | 1 |
| – | 9 | | | |
| | 2 | | | |
| – | 0 | | | |
| | 2 | 6 | | |
| – | 1 | 8 | | |
| | | 8 | 1 | |
STEP 13: DIVIDE 81 : 9 = 9 with a remainder of 0
|
| | 1 | 0 | 2 | 9 |
| 9 | 9 | 2 | 6 | 1 |
| – | 9 | | | |
| | 2 | | | |
| – | 0 | | | |
| | 2 | 6 | | |
| – | 1 | 8 | | |
| | | 8 | 1 | |
STEP 14: MULTIPLY 9 · 9 = 81
|
| | 1 | 0 | 2 | 9 |
| 9 | 9 | 2 | 6 | 1 |
| – | 9 | | | |
| | 2 | | | |
| – | 0 | | | |
| | 2 | 6 | | |
| – | 1 | 8 | | |
| | | 8 | 1 | |
| | | 8 | 1 | |
STEP 15: SUBTRACT 81 - 81 = 0
|
| | 1 | 0 | 2 | 9 |
| 9 | 9 | 2 | 6 | 1 |
| – | 9 | | | |
| | 2 | | | |
| – | 0 | | | |
| | 2 | 6 | | |
| – | 1 | 8 | | |
| | | 8 | 1 | |
| | – | 8 | 1 | |
| | | | 0 | |
STEP 15: SUBTRACT 81 - 81 = 0
|
| | 1 | 0 | 2 | 9 |
| 9 | 9 | 2 | 6 | 1 |
| – | 9 | | | |
| | 2 | | | |
| – | 0 | | | |
| | 2 | 6 | | |
| – | 1 | 8 | | |
| | | 8 | 1 | |
| | – | 8 | 1 | |
| | | | 0 | |
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