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What is the quotient and remainder when $ 746 $ is divided by $ 8 $ ?
Answer
The quotient is 93 and the remainder is 2.
Explanation
Division Table
|
| 0 | 9 | 3 |
8 | 7 | 4 | 6 |
– | 0 | | |
| 7 | 4 | |
– | 7 | 2 | |
| | 2 | 6 |
| – | 2 | 4 |
| | | 2 |
STEP 0: set up a division table
|
| | | |
8 | 7 | 4 | 6 |
STEP 1: DIVIDE 7 : 8 = 0 with a remainder of 7
|
| 0 | | |
8 | 7 | 4 | 6 |
STEP 2: MULTIPLY 0 · 8 = 0
|
| 0 | | |
8 | 7 | 4 | 6 |
| 0 | | |
STEP 3: SUBTRACT 7 - 0 = 7
|
| 0 | | |
8 | 7 | 4 | 6 |
– | 0 | | |
| 7 | | |
STEP 4: BRING DOWN
|
| 0 | | |
8 | 7 | 4 | 6 |
– | 0 | | |
| 7 | 4 | |
STEP 5: DIVIDE 74 : 8 = 9 with a remainder of 2
|
| 0 | 9 | |
8 | 7 | 4 | 6 |
– | 0 | | |
| 7 | 4 | |
STEP 6: MULTIPLY 9 · 8 = 72
|
| 0 | 9 | |
8 | 7 | 4 | 6 |
– | 0 | | |
| 7 | 4 | |
| 7 | 2 | |
STEP 7: SUBTRACT 74 - 72 = 2
|
| 0 | 9 | |
8 | 7 | 4 | 6 |
– | 0 | | |
| 7 | 4 | |
– | 7 | 2 | |
| | 2 | |
STEP 8: BRING DOWN
|
| 0 | 9 | |
8 | 7 | 4 | 6 |
– | 0 | | |
| 7 | 4 | |
– | 7 | 2 | |
| | 2 | 6 |
STEP 9: DIVIDE 26 : 8 = 3 with a remainder of 2
|
| 0 | 9 | 3 |
8 | 7 | 4 | 6 |
– | 0 | | |
| 7 | 4 | |
– | 7 | 2 | |
| | 2 | 6 |
STEP 10: MULTIPLY 3 · 8 = 24
|
| 0 | 9 | 3 |
8 | 7 | 4 | 6 |
– | 0 | | |
| 7 | 4 | |
– | 7 | 2 | |
| | 2 | 6 |
| | 2 | 4 |
STEP 11: SUBTRACT 26 - 24 = 2
|
| 0 | 9 | 3 |
8 | 7 | 4 | 6 |
– | 0 | | |
| 7 | 4 | |
– | 7 | 2 | |
| | 2 | 6 |
| – | 2 | 4 |
| | | 2 |
STEP 11: SUBTRACT 26 - 24 = 2
|
| 0 | 9 | 3 |
8 | 7 | 4 | 6 |
– | 0 | | |
| 7 | 4 | |
– | 7 | 2 | |
| | 2 | 6 |
| – | 2 | 4 |
| | | 2 |
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