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What is the quotient and remainder when $ 3478 $ is divided by $ 9 $ ?
Answer
The quotient is 386 and the remainder is 4.
Explanation
Division Table
|
| 0 | 3 | 8 | 6 |
9 | 3 | 4 | 7 | 8 |
– | 0 | | | |
| 3 | 4 | | |
– | 2 | 7 | | |
| | 7 | 7 | |
| – | 7 | 2 | |
| | | 5 | 8 |
| | – | 5 | 4 |
| | | | 4 |
STEP 0: set up a division table
|
| | | | |
9 | 3 | 4 | 7 | 8 |
STEP 1: DIVIDE 3 : 9 = 0 with a remainder of 3
|
| 0 | | | |
9 | 3 | 4 | 7 | 8 |
STEP 2: MULTIPLY 0 · 9 = 0
|
| 0 | | | |
9 | 3 | 4 | 7 | 8 |
| 0 | | | |
STEP 3: SUBTRACT 3 - 0 = 3
|
| 0 | | | |
9 | 3 | 4 | 7 | 8 |
– | 0 | | | |
| 3 | | | |
STEP 4: BRING DOWN
|
| 0 | | | |
9 | 3 | 4 | 7 | 8 |
– | 0 | | | |
| 3 | 4 | | |
STEP 5: DIVIDE 34 : 9 = 3 with a remainder of 7
|
| 0 | 3 | | |
9 | 3 | 4 | 7 | 8 |
– | 0 | | | |
| 3 | 4 | | |
STEP 6: MULTIPLY 3 · 9 = 27
|
| 0 | 3 | | |
9 | 3 | 4 | 7 | 8 |
– | 0 | | | |
| 3 | 4 | | |
| 2 | 7 | | |
STEP 7: SUBTRACT 34 - 27 = 7
|
| 0 | 3 | | |
9 | 3 | 4 | 7 | 8 |
– | 0 | | | |
| 3 | 4 | | |
– | 2 | 7 | | |
| | 7 | | |
STEP 8: BRING DOWN
|
| 0 | 3 | | |
9 | 3 | 4 | 7 | 8 |
– | 0 | | | |
| 3 | 4 | | |
– | 2 | 7 | | |
| | 7 | 7 | |
STEP 9: DIVIDE 77 : 9 = 8 with a remainder of 5
|
| 0 | 3 | 8 | |
9 | 3 | 4 | 7 | 8 |
– | 0 | | | |
| 3 | 4 | | |
– | 2 | 7 | | |
| | 7 | 7 | |
STEP 10: MULTIPLY 8 · 9 = 72
|
| 0 | 3 | 8 | |
9 | 3 | 4 | 7 | 8 |
– | 0 | | | |
| 3 | 4 | | |
– | 2 | 7 | | |
| | 7 | 7 | |
| | 7 | 2 | |
STEP 11: SUBTRACT 77 - 72 = 5
|
| 0 | 3 | 8 | |
9 | 3 | 4 | 7 | 8 |
– | 0 | | | |
| 3 | 4 | | |
– | 2 | 7 | | |
| | 7 | 7 | |
| – | 7 | 2 | |
| | | 5 | |
STEP 12: BRING DOWN
|
| 0 | 3 | 8 | |
9 | 3 | 4 | 7 | 8 |
– | 0 | | | |
| 3 | 4 | | |
– | 2 | 7 | | |
| | 7 | 7 | |
| – | 7 | 2 | |
| | | 5 | 8 |
STEP 13: DIVIDE 58 : 9 = 6 with a remainder of 4
|
| 0 | 3 | 8 | 6 |
9 | 3 | 4 | 7 | 8 |
– | 0 | | | |
| 3 | 4 | | |
– | 2 | 7 | | |
| | 7 | 7 | |
| – | 7 | 2 | |
| | | 5 | 8 |
STEP 14: MULTIPLY 6 · 9 = 54
|
| 0 | 3 | 8 | 6 |
9 | 3 | 4 | 7 | 8 |
– | 0 | | | |
| 3 | 4 | | |
– | 2 | 7 | | |
| | 7 | 7 | |
| – | 7 | 2 | |
| | | 5 | 8 |
| | | 5 | 4 |
STEP 15: SUBTRACT 58 - 54 = 4
|
| 0 | 3 | 8 | 6 |
9 | 3 | 4 | 7 | 8 |
– | 0 | | | |
| 3 | 4 | | |
– | 2 | 7 | | |
| | 7 | 7 | |
| – | 7 | 2 | |
| | | 5 | 8 |
| | – | 5 | 4 |
| | | | 4 |
STEP 15: SUBTRACT 58 - 54 = 4
|
| 0 | 3 | 8 | 6 |
9 | 3 | 4 | 7 | 8 |
– | 0 | | | |
| 3 | 4 | | |
– | 2 | 7 | | |
| | 7 | 7 | |
| – | 7 | 2 | |
| | | 5 | 8 |
| | – | 5 | 4 |
| | | | 4 |
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