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Question
What is the quotient and remainder when $ 5830 $ is divided by $ 9 $ ?
Answer
The quotient is 647 and the remainder is 7.
Explanation
|
Division Table
|
| | 0 | 6 | 4 | 7 |
| 9 | 5 | 8 | 3 | 0 |
| – | 0 | | | |
| | 5 | 8 | | |
| – | 5 | 4 | | |
| | | 4 | 3 | |
| | – | 3 | 6 | |
| | | | 7 | 0 |
| | | – | 6 | 3 |
| | | | | 7 |
STEP 0: set up a division table
|
| | | | | |
| 9 | 5 | 8 | 3 | 0 |
STEP 1: DIVIDE 5 : 9 = 0 with a remainder of 5
|
| | 0 | | | |
| 9 | 5 | 8 | 3 | 0 |
STEP 2: MULTIPLY 0 · 9 = 0
|
| | 0 | | | |
| 9 | 5 | 8 | 3 | 0 |
| | 0 | | | |
STEP 3: SUBTRACT 5 - 0 = 5
|
| | 0 | | | |
| 9 | 5 | 8 | 3 | 0 |
| – | 0 | | | |
| | 5 | | | |
|
STEP 4: BRING DOWN
|
| | 0 | | | |
| 9 | 5 | 8 | 3 | 0 |
| – | 0 | | | |
| | 5 | 8 | | |
STEP 5: DIVIDE 58 : 9 = 6 with a remainder of 4
|
| | 0 | 6 | | |
| 9 | 5 | 8 | 3 | 0 |
| – | 0 | | | |
| | 5 | 8 | | |
STEP 6: MULTIPLY 6 · 9 = 54
|
| | 0 | 6 | | |
| 9 | 5 | 8 | 3 | 0 |
| – | 0 | | | |
| | 5 | 8 | | |
| | 5 | 4 | | |
STEP 7: SUBTRACT 58 - 54 = 4
|
| | 0 | 6 | | |
| 9 | 5 | 8 | 3 | 0 |
| – | 0 | | | |
| | 5 | 8 | | |
| – | 5 | 4 | | |
| | | 4 | | |
|
STEP 8: BRING DOWN
|
| | 0 | 6 | | |
| 9 | 5 | 8 | 3 | 0 |
| – | 0 | | | |
| | 5 | 8 | | |
| – | 5 | 4 | | |
| | | 4 | 3 | |
STEP 9: DIVIDE 43 : 9 = 4 with a remainder of 7
|
| | 0 | 6 | 4 | |
| 9 | 5 | 8 | 3 | 0 |
| – | 0 | | | |
| | 5 | 8 | | |
| – | 5 | 4 | | |
| | | 4 | 3 | |
STEP 10: MULTIPLY 4 · 9 = 36
|
| | 0 | 6 | 4 | |
| 9 | 5 | 8 | 3 | 0 |
| – | 0 | | | |
| | 5 | 8 | | |
| – | 5 | 4 | | |
| | | 4 | 3 | |
| | | 3 | 6 | |
STEP 11: SUBTRACT 43 - 36 = 7
|
| | 0 | 6 | 4 | |
| 9 | 5 | 8 | 3 | 0 |
| – | 0 | | | |
| | 5 | 8 | | |
| – | 5 | 4 | | |
| | | 4 | 3 | |
| | – | 3 | 6 | |
| | | | 7 | |
|
STEP 12: BRING DOWN
|
| | 0 | 6 | 4 | |
| 9 | 5 | 8 | 3 | 0 |
| – | 0 | | | |
| | 5 | 8 | | |
| – | 5 | 4 | | |
| | | 4 | 3 | |
| | – | 3 | 6 | |
| | | | 7 | 0 |
STEP 13: DIVIDE 70 : 9 = 7 with a remainder of 7
|
| | 0 | 6 | 4 | 7 |
| 9 | 5 | 8 | 3 | 0 |
| – | 0 | | | |
| | 5 | 8 | | |
| – | 5 | 4 | | |
| | | 4 | 3 | |
| | – | 3 | 6 | |
| | | | 7 | 0 |
STEP 14: MULTIPLY 7 · 9 = 63
|
| | 0 | 6 | 4 | 7 |
| 9 | 5 | 8 | 3 | 0 |
| – | 0 | | | |
| | 5 | 8 | | |
| – | 5 | 4 | | |
| | | 4 | 3 | |
| | – | 3 | 6 | |
| | | | 7 | 0 |
| | | | 6 | 3 |
STEP 15: SUBTRACT 70 - 63 = 7
|
| | 0 | 6 | 4 | 7 |
| 9 | 5 | 8 | 3 | 0 |
| – | 0 | | | |
| | 5 | 8 | | |
| – | 5 | 4 | | |
| | | 4 | 3 | |
| | – | 3 | 6 | |
| | | | 7 | 0 |
| | | – | 6 | 3 |
| | | | | 7 |
STEP 15: SUBTRACT 70 - 63 = 7
|
| | 0 | 6 | 4 | 7 |
| 9 | 5 | 8 | 3 | 0 |
| – | 0 | | | |
| | 5 | 8 | | |
| – | 5 | 4 | | |
| | | 4 | 3 | |
| | – | 3 | 6 | |
| | | | 7 | 0 |
| | | – | 6 | 3 |
| | | | | 7 |
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