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Question
What is the quotient and remainder when $ 474 $ is divided by $ 6 $ ?
Answer
The quotient is 79 and the remainder is 0.
Explanation
Division Table
|
| 0 | 7 | 9 |
6 | 4 | 7 | 4 |
– | 0 | | |
| 4 | 7 | |
– | 4 | 2 | |
| | 5 | 4 |
| – | 5 | 4 |
| | | 0 |
STEP 0: set up a division table
|
| | | |
6 | 4 | 7 | 4 |
STEP 1: DIVIDE 4 : 6 = 0 with a remainder of 4
|
| 0 | | |
6 | 4 | 7 | 4 |
STEP 2: MULTIPLY 0 · 6 = 0
|
| 0 | | |
6 | 4 | 7 | 4 |
| 0 | | |
STEP 3: SUBTRACT 4 - 0 = 4
|
| 0 | | |
6 | 4 | 7 | 4 |
– | 0 | | |
| 4 | | |
STEP 4: BRING DOWN
|
| 0 | | |
6 | 4 | 7 | 4 |
– | 0 | | |
| 4 | 7 | |
STEP 5: DIVIDE 47 : 6 = 7 with a remainder of 5
|
| 0 | 7 | |
6 | 4 | 7 | 4 |
– | 0 | | |
| 4 | 7 | |
STEP 6: MULTIPLY 7 · 6 = 42
|
| 0 | 7 | |
6 | 4 | 7 | 4 |
– | 0 | | |
| 4 | 7 | |
| 4 | 2 | |
STEP 7: SUBTRACT 47 - 42 = 5
|
| 0 | 7 | |
6 | 4 | 7 | 4 |
– | 0 | | |
| 4 | 7 | |
– | 4 | 2 | |
| | 5 | |
STEP 8: BRING DOWN
|
| 0 | 7 | |
6 | 4 | 7 | 4 |
– | 0 | | |
| 4 | 7 | |
– | 4 | 2 | |
| | 5 | 4 |
STEP 9: DIVIDE 54 : 6 = 9 with a remainder of 0
|
| 0 | 7 | 9 |
6 | 4 | 7 | 4 |
– | 0 | | |
| 4 | 7 | |
– | 4 | 2 | |
| | 5 | 4 |
STEP 10: MULTIPLY 9 · 6 = 54
|
| 0 | 7 | 9 |
6 | 4 | 7 | 4 |
– | 0 | | |
| 4 | 7 | |
– | 4 | 2 | |
| | 5 | 4 |
| | 5 | 4 |
STEP 11: SUBTRACT 54 - 54 = 0
|
| 0 | 7 | 9 |
6 | 4 | 7 | 4 |
– | 0 | | |
| 4 | 7 | |
– | 4 | 2 | |
| | 5 | 4 |
| – | 5 | 4 |
| | | 0 |
STEP 11: SUBTRACT 54 - 54 = 0
|
| 0 | 7 | 9 |
6 | 4 | 7 | 4 |
– | 0 | | |
| 4 | 7 | |
– | 4 | 2 | |
| | 5 | 4 |
| – | 5 | 4 |
| | | 0 |
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