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Question
What is the quotient and remainder when $ 7563 $ is divided by $ 9 $ ?
Answer
The quotient is 840 and the remainder is 3.
Explanation
|
Division Table
|
| | 0 | 8 | 4 | 0 |
| 9 | 7 | 5 | 6 | 3 |
| – | 0 | | | |
| | 7 | 5 | | |
| – | 7 | 2 | | |
| | | 3 | 6 | |
| | – | 3 | 6 | |
| | | | 3 | |
| | | – | 0 | |
| | | | 3 | |
STEP 0: set up a division table
|
| | | | | |
| 9 | 7 | 5 | 6 | 3 |
STEP 1: DIVIDE 7 : 9 = 0 with a remainder of 7
|
| | 0 | | | |
| 9 | 7 | 5 | 6 | 3 |
STEP 2: MULTIPLY 0 · 9 = 0
|
| | 0 | | | |
| 9 | 7 | 5 | 6 | 3 |
| | 0 | | | |
STEP 3: SUBTRACT 7 - 0 = 7
|
| | 0 | | | |
| 9 | 7 | 5 | 6 | 3 |
| – | 0 | | | |
| | 7 | | | |
|
STEP 4: BRING DOWN
|
| | 0 | | | |
| 9 | 7 | 5 | 6 | 3 |
| – | 0 | | | |
| | 7 | 5 | | |
STEP 5: DIVIDE 75 : 9 = 8 with a remainder of 3
|
| | 0 | 8 | | |
| 9 | 7 | 5 | 6 | 3 |
| – | 0 | | | |
| | 7 | 5 | | |
STEP 6: MULTIPLY 8 · 9 = 72
|
| | 0 | 8 | | |
| 9 | 7 | 5 | 6 | 3 |
| – | 0 | | | |
| | 7 | 5 | | |
| | 7 | 2 | | |
STEP 7: SUBTRACT 75 - 72 = 3
|
| | 0 | 8 | | |
| 9 | 7 | 5 | 6 | 3 |
| – | 0 | | | |
| | 7 | 5 | | |
| – | 7 | 2 | | |
| | | 3 | | |
|
STEP 8: BRING DOWN
|
| | 0 | 8 | | |
| 9 | 7 | 5 | 6 | 3 |
| – | 0 | | | |
| | 7 | 5 | | |
| – | 7 | 2 | | |
| | | 3 | 6 | |
STEP 9: DIVIDE 36 : 9 = 4 with a remainder of 0
|
| | 0 | 8 | 4 | |
| 9 | 7 | 5 | 6 | 3 |
| – | 0 | | | |
| | 7 | 5 | | |
| – | 7 | 2 | | |
| | | 3 | 6 | |
STEP 10: MULTIPLY 4 · 9 = 36
|
| | 0 | 8 | 4 | |
| 9 | 7 | 5 | 6 | 3 |
| – | 0 | | | |
| | 7 | 5 | | |
| – | 7 | 2 | | |
| | | 3 | 6 | |
| | | 3 | 6 | |
STEP 11: SUBTRACT 36 - 36 = 0
|
| | 0 | 8 | 4 | |
| 9 | 7 | 5 | 6 | 3 |
| – | 0 | | | |
| | 7 | 5 | | |
| – | 7 | 2 | | |
| | | 3 | 6 | |
| | – | 3 | 6 | |
| | | | 0 | |
|
STEP 12: BRING DOWN
|
| | 0 | 8 | 4 | |
| 9 | 7 | 5 | 6 | 3 |
| – | 0 | | | |
| | 7 | 5 | | |
| – | 7 | 2 | | |
| | | 3 | 6 | |
| | – | 3 | 6 | |
| | | | 3 | |
STEP 13: DIVIDE 3 : 9 = 0 with a remainder of 3
|
| | 0 | 8 | 4 | 0 |
| 9 | 7 | 5 | 6 | 3 |
| – | 0 | | | |
| | 7 | 5 | | |
| – | 7 | 2 | | |
| | | 3 | 6 | |
| | – | 3 | 6 | |
| | | | 3 | |
STEP 14: MULTIPLY 0 · 9 = 0
|
| | 0 | 8 | 4 | 0 |
| 9 | 7 | 5 | 6 | 3 |
| – | 0 | | | |
| | 7 | 5 | | |
| – | 7 | 2 | | |
| | | 3 | 6 | |
| | – | 3 | 6 | |
| | | | 3 | |
| | | | 0 | |
STEP 15: SUBTRACT 3 - 0 = 3
|
| | 0 | 8 | 4 | 0 |
| 9 | 7 | 5 | 6 | 3 |
| – | 0 | | | |
| | 7 | 5 | | |
| – | 7 | 2 | | |
| | | 3 | 6 | |
| | – | 3 | 6 | |
| | | | 3 | |
| | | – | 0 | |
| | | | 3 | |
STEP 15: SUBTRACT 3 - 0 = 3
|
| | 0 | 8 | 4 | 0 |
| 9 | 7 | 5 | 6 | 3 |
| – | 0 | | | |
| | 7 | 5 | | |
| – | 7 | 2 | | |
| | | 3 | 6 | |
| | – | 3 | 6 | |
| | | | 3 | |
| | | – | 0 | |
| | | | 3 | |
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