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Question
What is the quotient and remainder when $ 63412 $ is divided by $ 9 $ ?
Answer
The quotient is 7045 and the remainder is 7.
Explanation
|
Division Table
|
| | 0 | 7 | 0 | 4 | 5 |
| 9 | 6 | 3 | 4 | 1 | 2 |
| – | 0 | | | | |
| | 6 | 3 | | | |
| – | 6 | 3 | | | |
| | | 4 | | | |
| | – | 0 | | | |
| | | 4 | 1 | | |
| | – | 3 | 6 | | |
| | | | 5 | 2 | |
| | | – | 4 | 5 | |
| | | | | 7 | |
STEP 0: set up a division table
|
| | | | | | |
| 9 | 6 | 3 | 4 | 1 | 2 |
STEP 1: DIVIDE 6 : 9 = 0 with a remainder of 6
|
| | 0 | | | | |
| 9 | 6 | 3 | 4 | 1 | 2 |
STEP 2: MULTIPLY 0 · 9 = 0
|
| | 0 | | | | |
| 9 | 6 | 3 | 4 | 1 | 2 |
| | 0 | | | | |
STEP 3: SUBTRACT 6 - 0 = 6
|
| | 0 | | | | |
| 9 | 6 | 3 | 4 | 1 | 2 |
| – | 0 | | | | |
| | 6 | | | | |
|
STEP 4: BRING DOWN
|
| | 0 | | | | |
| 9 | 6 | 3 | 4 | 1 | 2 |
| – | 0 | | | | |
| | 6 | 3 | | | |
STEP 5: DIVIDE 63 : 9 = 7 with a remainder of 0
|
| | 0 | 7 | | | |
| 9 | 6 | 3 | 4 | 1 | 2 |
| – | 0 | | | | |
| | 6 | 3 | | | |
STEP 6: MULTIPLY 7 · 9 = 63
|
| | 0 | 7 | | | |
| 9 | 6 | 3 | 4 | 1 | 2 |
| – | 0 | | | | |
| | 6 | 3 | | | |
| | 6 | 3 | | | |
STEP 7: SUBTRACT 63 - 63 = 0
|
| | 0 | 7 | | | |
| 9 | 6 | 3 | 4 | 1 | 2 |
| – | 0 | | | | |
| | 6 | 3 | | | |
| – | 6 | 3 | | | |
| | | 0 | | | |
|
STEP 8: BRING DOWN
|
| | 0 | 7 | | | |
| 9 | 6 | 3 | 4 | 1 | 2 |
| – | 0 | | | | |
| | 6 | 3 | | | |
| – | 6 | 3 | | | |
| | | 4 | | | |
STEP 9: DIVIDE 4 : 9 = 0 with a remainder of 4
|
| | 0 | 7 | 0 | | |
| 9 | 6 | 3 | 4 | 1 | 2 |
| – | 0 | | | | |
| | 6 | 3 | | | |
| – | 6 | 3 | | | |
| | | 4 | | | |
STEP 10: MULTIPLY 0 · 9 = 0
|
| | 0 | 7 | 0 | | |
| 9 | 6 | 3 | 4 | 1 | 2 |
| – | 0 | | | | |
| | 6 | 3 | | | |
| – | 6 | 3 | | | |
| | | 4 | | | |
| | | 0 | | | |
STEP 11: SUBTRACT 4 - 0 = 4
|
| | 0 | 7 | 0 | | |
| 9 | 6 | 3 | 4 | 1 | 2 |
| – | 0 | | | | |
| | 6 | 3 | | | |
| – | 6 | 3 | | | |
| | | 4 | | | |
| | – | 0 | | | |
| | | 4 | | | |
|
STEP 12: BRING DOWN
|
| | 0 | 7 | 0 | | |
| 9 | 6 | 3 | 4 | 1 | 2 |
| – | 0 | | | | |
| | 6 | 3 | | | |
| – | 6 | 3 | | | |
| | | 4 | | | |
| | – | 0 | | | |
| | | 4 | 1 | | |
STEP 13: DIVIDE 41 : 9 = 4 with a remainder of 5
|
| | 0 | 7 | 0 | 4 | |
| 9 | 6 | 3 | 4 | 1 | 2 |
| – | 0 | | | | |
| | 6 | 3 | | | |
| – | 6 | 3 | | | |
| | | 4 | | | |
| | – | 0 | | | |
| | | 4 | 1 | | |
STEP 14: MULTIPLY 4 · 9 = 36
|
| | 0 | 7 | 0 | 4 | |
| 9 | 6 | 3 | 4 | 1 | 2 |
| – | 0 | | | | |
| | 6 | 3 | | | |
| – | 6 | 3 | | | |
| | | 4 | | | |
| | – | 0 | | | |
| | | 4 | 1 | | |
| | | 3 | 6 | | |
STEP 15: SUBTRACT 41 - 36 = 5
|
| | 0 | 7 | 0 | 4 | |
| 9 | 6 | 3 | 4 | 1 | 2 |
| – | 0 | | | | |
| | 6 | 3 | | | |
| – | 6 | 3 | | | |
| | | 4 | | | |
| | – | 0 | | | |
| | | 4 | 1 | | |
| | – | 3 | 6 | | |
| | | | 5 | | |
|
STEP 16: BRING DOWN
|
| | 0 | 7 | 0 | 4 | |
| 9 | 6 | 3 | 4 | 1 | 2 |
| – | 0 | | | | |
| | 6 | 3 | | | |
| – | 6 | 3 | | | |
| | | 4 | | | |
| | – | 0 | | | |
| | | 4 | 1 | | |
| | – | 3 | 6 | | |
| | | | 5 | 2 | |
STEP 17: DIVIDE 52 : 9 = 5 with a remainder of 7
|
| | 0 | 7 | 0 | 4 | 5 |
| 9 | 6 | 3 | 4 | 1 | 2 |
| – | 0 | | | | |
| | 6 | 3 | | | |
| – | 6 | 3 | | | |
| | | 4 | | | |
| | – | 0 | | | |
| | | 4 | 1 | | |
| | – | 3 | 6 | | |
| | | | 5 | 2 | |
STEP 18: MULTIPLY 5 · 9 = 45
|
| | 0 | 7 | 0 | 4 | 5 |
| 9 | 6 | 3 | 4 | 1 | 2 |
| – | 0 | | | | |
| | 6 | 3 | | | |
| – | 6 | 3 | | | |
| | | 4 | | | |
| | – | 0 | | | |
| | | 4 | 1 | | |
| | – | 3 | 6 | | |
| | | | 5 | 2 | |
| | | | 4 | 5 | |
STEP 19: SUBTRACT 52 - 45 = 7
|
| | 0 | 7 | 0 | 4 | 5 |
| 9 | 6 | 3 | 4 | 1 | 2 |
| – | 0 | | | | |
| | 6 | 3 | | | |
| – | 6 | 3 | | | |
| | | 4 | | | |
| | – | 0 | | | |
| | | 4 | 1 | | |
| | – | 3 | 6 | | |
| | | | 5 | 2 | |
| | | – | 4 | 5 | |
| | | | | 7 | |
STEP 19: SUBTRACT 52 - 45 = 7
|
| | 0 | 7 | 0 | 4 | 5 |
| 9 | 6 | 3 | 4 | 1 | 2 |
| – | 0 | | | | |
| | 6 | 3 | | | |
| – | 6 | 3 | | | |
| | | 4 | | | |
| | – | 0 | | | |
| | | 4 | 1 | | |
| | – | 3 | 6 | | |
| | | | 5 | 2 | |
| | | – | 4 | 5 | |
| | | | | 7 | |
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