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What is the quotient and remainder when $ 839 $ is divided by $ 8 $ ?
Answer
The quotient is 104 and the remainder is 7.
Explanation
Division Table
|
| 1 | 0 | 4 |
8 | 8 | 3 | 9 |
– | 8 | | |
| 3 | | |
– | 0 | | |
| 3 | 9 | |
– | 3 | 2 | |
| | 7 | |
STEP 0: set up a division table
|
| | | |
8 | 8 | 3 | 9 |
STEP 1: DIVIDE 8 : 8 = 1 with a remainder of 0
|
| 1 | | |
8 | 8 | 3 | 9 |
STEP 2: MULTIPLY 1 · 8 = 8
|
| 1 | | |
8 | 8 | 3 | 9 |
| 8 | | |
STEP 3: SUBTRACT 8 - 8 = 0
|
| 1 | | |
8 | 8 | 3 | 9 |
– | 8 | | |
| 0 | | |
STEP 4: BRING DOWN
|
| 1 | | |
8 | 8 | 3 | 9 |
– | 8 | | |
| 3 | | |
STEP 5: DIVIDE 3 : 8 = 0 with a remainder of 3
|
| 1 | 0 | |
8 | 8 | 3 | 9 |
– | 8 | | |
| 3 | | |
STEP 6: MULTIPLY 0 · 8 = 0
|
| 1 | 0 | |
8 | 8 | 3 | 9 |
– | 8 | | |
| 3 | | |
| 0 | | |
STEP 7: SUBTRACT 3 - 0 = 3
|
| 1 | 0 | |
8 | 8 | 3 | 9 |
– | 8 | | |
| 3 | | |
– | 0 | | |
| 3 | | |
STEP 8: BRING DOWN
|
| 1 | 0 | |
8 | 8 | 3 | 9 |
– | 8 | | |
| 3 | | |
– | 0 | | |
| 3 | 9 | |
STEP 9: DIVIDE 39 : 8 = 4 with a remainder of 7
|
| 1 | 0 | 4 |
8 | 8 | 3 | 9 |
– | 8 | | |
| 3 | | |
– | 0 | | |
| 3 | 9 | |
STEP 10: MULTIPLY 4 · 8 = 32
|
| 1 | 0 | 4 |
8 | 8 | 3 | 9 |
– | 8 | | |
| 3 | | |
– | 0 | | |
| 3 | 9 | |
| 3 | 2 | |
STEP 11: SUBTRACT 39 - 32 = 7
|
| 1 | 0 | 4 |
8 | 8 | 3 | 9 |
– | 8 | | |
| 3 | | |
– | 0 | | |
| 3 | 9 | |
– | 3 | 2 | |
| | 7 | |
STEP 11: SUBTRACT 39 - 32 = 7
|
| 1 | 0 | 4 |
8 | 8 | 3 | 9 |
– | 8 | | |
| 3 | | |
– | 0 | | |
| 3 | 9 | |
– | 3 | 2 | |
| | 7 | |
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