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What is the quotient and remainder when $ 466 $ is divided by $ 65 $ ?
Answer
The quotient is 7 and the remainder is 11.
Explanation
Division Table
|
| | 0 | 0 | 7 |
6 | 5 | 4 | 6 | 6 |
| – | 0 | | |
| | 4 | 6 | |
| | – | 0 | |
| | 4 | 6 | 6 |
| – | 4 | 5 | 5 |
| | | 1 | 1 |
STEP 0: set up a division table
|
| | | | |
6 | 5 | 4 | 6 | 6 |
STEP 1: DIVIDE 4 : 65 = 0 with a remainder of 4
|
| | 0 | | |
6 | 5 | 4 | 6 | 6 |
STEP 2: MULTIPLY 0 · 65 = 0
|
| | 0 | | |
6 | 5 | 4 | 6 | 6 |
| | 0 | | |
STEP 3: SUBTRACT 4 - 0 = 4
|
| | 0 | | |
6 | 5 | 4 | 6 | 6 |
| – | 0 | | |
| | 4 | | |
STEP 4: BRING DOWN
|
| | 0 | | |
6 | 5 | 4 | 6 | 6 |
| – | 0 | | |
| | 4 | 6 | |
STEP 5: DIVIDE 46 : 65 = 0 with a remainder of 46
|
| | 0 | 0 | |
6 | 5 | 4 | 6 | 6 |
| – | 0 | | |
| | 4 | 6 | |
STEP 6: MULTIPLY 0 · 65 = 0
|
| | 0 | 0 | |
6 | 5 | 4 | 6 | 6 |
| – | 0 | | |
| | 4 | 6 | |
| | | 0 | |
STEP 7: SUBTRACT 46 - 0 = 46
|
| | 0 | 0 | |
6 | 5 | 4 | 6 | 6 |
| – | 0 | | |
| | 4 | 6 | |
| | – | 0 | |
| | 4 | 6 | |
STEP 8: BRING DOWN
|
| | 0 | 0 | |
6 | 5 | 4 | 6 | 6 |
| – | 0 | | |
| | 4 | 6 | |
| | – | 0 | |
| | 4 | 6 | 6 |
STEP 9: DIVIDE 466 : 65 = 7 with a remainder of 11
|
| | 0 | 0 | 7 |
6 | 5 | 4 | 6 | 6 |
| – | 0 | | |
| | 4 | 6 | |
| | – | 0 | |
| | 4 | 6 | 6 |
STEP 10: MULTIPLY 7 · 65 = 455
|
| | 0 | 0 | 7 |
6 | 5 | 4 | 6 | 6 |
| – | 0 | | |
| | 4 | 6 | |
| | – | 0 | |
| | 4 | 6 | 6 |
| | 4 | 5 | 5 |
STEP 11: SUBTRACT 466 - 455 = 11
|
| | 0 | 0 | 7 |
6 | 5 | 4 | 6 | 6 |
| – | 0 | | |
| | 4 | 6 | |
| | – | 0 | |
| | 4 | 6 | 6 |
| – | 4 | 5 | 5 |
| | | 1 | 1 |
STEP 11: SUBTRACT 466 - 455 = 11
|
| | 0 | 0 | 7 |
6 | 5 | 4 | 6 | 6 |
| – | 0 | | |
| | 4 | 6 | |
| | – | 0 | |
| | 4 | 6 | 6 |
| – | 4 | 5 | 5 |
| | | 1 | 1 |
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