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What is the quotient and remainder when $ 322 $ is divided by $ 4766 $ ?
Answer
The quotient is 0 and the remainder is 322.
Explanation
Division Table
|
| | | | 0 | 0 | 0 |
4 | 7 | 6 | 6 | 3 | 2 | 2 |
| | | – | 0 | | |
| | | | 3 | 2 | |
| | | | – | 0 | |
| | | | 3 | 2 | 2 |
| | | | | – | 0 |
| | | | 3 | 2 | 2 |
STEP 0: set up a division table
|
| | | | | | |
4 | 7 | 6 | 6 | 3 | 2 | 2 |
STEP 1: DIVIDE 3 : 4766 = 0 with a remainder of 3
|
| | | | 0 | | |
4 | 7 | 6 | 6 | 3 | 2 | 2 |
STEP 2: MULTIPLY 0 · 4766 = 0
|
| | | | 0 | | |
4 | 7 | 6 | 6 | 3 | 2 | 2 |
| | | | 0 | | |
STEP 3: SUBTRACT 3 - 0 = 3
|
| | | | 0 | | |
4 | 7 | 6 | 6 | 3 | 2 | 2 |
| | | – | 0 | | |
| | | | 3 | | |
STEP 4: BRING DOWN
|
| | | | 0 | | |
4 | 7 | 6 | 6 | 3 | 2 | 2 |
| | | – | 0 | | |
| | | | 3 | 2 | |
STEP 5: DIVIDE 32 : 4766 = 0 with a remainder of 32
|
| | | | 0 | 0 | |
4 | 7 | 6 | 6 | 3 | 2 | 2 |
| | | – | 0 | | |
| | | | 3 | 2 | |
STEP 6: MULTIPLY 0 · 4766 = 0
|
| | | | 0 | 0 | |
4 | 7 | 6 | 6 | 3 | 2 | 2 |
| | | – | 0 | | |
| | | | 3 | 2 | |
| | | | | 0 | |
STEP 7: SUBTRACT 32 - 0 = 32
|
| | | | 0 | 0 | |
4 | 7 | 6 | 6 | 3 | 2 | 2 |
| | | – | 0 | | |
| | | | 3 | 2 | |
| | | | – | 0 | |
| | | | 3 | 2 | |
STEP 8: BRING DOWN
|
| | | | 0 | 0 | |
4 | 7 | 6 | 6 | 3 | 2 | 2 |
| | | – | 0 | | |
| | | | 3 | 2 | |
| | | | – | 0 | |
| | | | 3 | 2 | 2 |
STEP 9: DIVIDE 322 : 4766 = 0 with a remainder of 322
|
| | | | 0 | 0 | 0 |
4 | 7 | 6 | 6 | 3 | 2 | 2 |
| | | – | 0 | | |
| | | | 3 | 2 | |
| | | | – | 0 | |
| | | | 3 | 2 | 2 |
STEP 10: MULTIPLY 0 · 4766 = 0
|
| | | | 0 | 0 | 0 |
4 | 7 | 6 | 6 | 3 | 2 | 2 |
| | | – | 0 | | |
| | | | 3 | 2 | |
| | | | – | 0 | |
| | | | 3 | 2 | 2 |
| | | | | | 0 |
STEP 11: SUBTRACT 322 - 0 = 322
|
| | | | 0 | 0 | 0 |
4 | 7 | 6 | 6 | 3 | 2 | 2 |
| | | – | 0 | | |
| | | | 3 | 2 | |
| | | | – | 0 | |
| | | | 3 | 2 | 2 |
| | | | | – | 0 |
| | | | 3 | 2 | 2 |
STEP 11: SUBTRACT 322 - 0 = 322
|
| | | | 0 | 0 | 0 |
4 | 7 | 6 | 6 | 3 | 2 | 2 |
| | | – | 0 | | |
| | | | 3 | 2 | |
| | | | – | 0 | |
| | | | 3 | 2 | 2 |
| | | | | – | 0 |
| | | | 3 | 2 | 2 |
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