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Question
What is the quotient and remainder when $ 6633 $ is divided by $ 9 $ ?
Answer
The quotient is 737 and the remainder is 0.
Explanation
|
Division Table
|
| | 0 | 7 | 3 | 7 |
| 9 | 6 | 6 | 3 | 3 |
| – | 0 | | | |
| | 6 | 6 | | |
| – | 6 | 3 | | |
| | | 3 | 3 | |
| | – | 2 | 7 | |
| | | | 6 | 3 |
| | | – | 6 | 3 |
| | | | | 0 |
STEP 0: set up a division table
|
| | | | | |
| 9 | 6 | 6 | 3 | 3 |
STEP 1: DIVIDE 6 : 9 = 0 with a remainder of 6
|
| | 0 | | | |
| 9 | 6 | 6 | 3 | 3 |
STEP 2: MULTIPLY 0 · 9 = 0
|
| | 0 | | | |
| 9 | 6 | 6 | 3 | 3 |
| | 0 | | | |
STEP 3: SUBTRACT 6 - 0 = 6
|
| | 0 | | | |
| 9 | 6 | 6 | 3 | 3 |
| – | 0 | | | |
| | 6 | | | |
|
STEP 4: BRING DOWN
|
| | 0 | | | |
| 9 | 6 | 6 | 3 | 3 |
| – | 0 | | | |
| | 6 | 6 | | |
STEP 5: DIVIDE 66 : 9 = 7 with a remainder of 3
|
| | 0 | 7 | | |
| 9 | 6 | 6 | 3 | 3 |
| – | 0 | | | |
| | 6 | 6 | | |
STEP 6: MULTIPLY 7 · 9 = 63
|
| | 0 | 7 | | |
| 9 | 6 | 6 | 3 | 3 |
| – | 0 | | | |
| | 6 | 6 | | |
| | 6 | 3 | | |
STEP 7: SUBTRACT 66 - 63 = 3
|
| | 0 | 7 | | |
| 9 | 6 | 6 | 3 | 3 |
| – | 0 | | | |
| | 6 | 6 | | |
| – | 6 | 3 | | |
| | | 3 | | |
|
STEP 8: BRING DOWN
|
| | 0 | 7 | | |
| 9 | 6 | 6 | 3 | 3 |
| – | 0 | | | |
| | 6 | 6 | | |
| – | 6 | 3 | | |
| | | 3 | 3 | |
STEP 9: DIVIDE 33 : 9 = 3 with a remainder of 6
|
| | 0 | 7 | 3 | |
| 9 | 6 | 6 | 3 | 3 |
| – | 0 | | | |
| | 6 | 6 | | |
| – | 6 | 3 | | |
| | | 3 | 3 | |
STEP 10: MULTIPLY 3 · 9 = 27
|
| | 0 | 7 | 3 | |
| 9 | 6 | 6 | 3 | 3 |
| – | 0 | | | |
| | 6 | 6 | | |
| – | 6 | 3 | | |
| | | 3 | 3 | |
| | | 2 | 7 | |
STEP 11: SUBTRACT 33 - 27 = 6
|
| | 0 | 7 | 3 | |
| 9 | 6 | 6 | 3 | 3 |
| – | 0 | | | |
| | 6 | 6 | | |
| – | 6 | 3 | | |
| | | 3 | 3 | |
| | – | 2 | 7 | |
| | | | 6 | |
|
STEP 12: BRING DOWN
|
| | 0 | 7 | 3 | |
| 9 | 6 | 6 | 3 | 3 |
| – | 0 | | | |
| | 6 | 6 | | |
| – | 6 | 3 | | |
| | | 3 | 3 | |
| | – | 2 | 7 | |
| | | | 6 | 3 |
STEP 13: DIVIDE 63 : 9 = 7 with a remainder of 0
|
| | 0 | 7 | 3 | 7 |
| 9 | 6 | 6 | 3 | 3 |
| – | 0 | | | |
| | 6 | 6 | | |
| – | 6 | 3 | | |
| | | 3 | 3 | |
| | – | 2 | 7 | |
| | | | 6 | 3 |
STEP 14: MULTIPLY 7 · 9 = 63
|
| | 0 | 7 | 3 | 7 |
| 9 | 6 | 6 | 3 | 3 |
| – | 0 | | | |
| | 6 | 6 | | |
| – | 6 | 3 | | |
| | | 3 | 3 | |
| | – | 2 | 7 | |
| | | | 6 | 3 |
| | | | 6 | 3 |
STEP 15: SUBTRACT 63 - 63 = 0
|
| | 0 | 7 | 3 | 7 |
| 9 | 6 | 6 | 3 | 3 |
| – | 0 | | | |
| | 6 | 6 | | |
| – | 6 | 3 | | |
| | | 3 | 3 | |
| | – | 2 | 7 | |
| | | | 6 | 3 |
| | | – | 6 | 3 |
| | | | | 0 |
STEP 15: SUBTRACT 63 - 63 = 0
|
| | 0 | 7 | 3 | 7 |
| 9 | 6 | 6 | 3 | 3 |
| – | 0 | | | |
| | 6 | 6 | | |
| – | 6 | 3 | | |
| | | 3 | 3 | |
| | – | 2 | 7 | |
| | | | 6 | 3 |
| | | – | 6 | 3 |
| | | | | 0 |
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