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Question
What is the quotient and remainder when $ 820 $ is divided by $ 46 $ ?
Answer
The quotient is 17 and the remainder is 38.
Explanation
|
Division Table
|
| | | 0 | 1 | 7 |
| 4 | 6 | 8 | 2 | 0 |
| | – | 0 | | |
| | | 8 | 2 | |
| | – | 4 | 6 | |
| | | 3 | 6 | 0 |
| | – | 3 | 2 | 2 |
| | | | 3 | 8 |
STEP 0: set up a division table
|
| | | | | |
| 4 | 6 | 8 | 2 | 0 |
STEP 1: DIVIDE 8 : 46 = 0 with a remainder of 8
|
| | | 0 | | |
| 4 | 6 | 8 | 2 | 0 |
STEP 2: MULTIPLY 0 · 46 = 0
|
| | | 0 | | |
| 4 | 6 | 8 | 2 | 0 |
| | | 0 | | |
STEP 3: SUBTRACT 8 - 0 = 8
|
| | | 0 | | |
| 4 | 6 | 8 | 2 | 0 |
| | – | 0 | | |
| | | 8 | | |
|
STEP 4: BRING DOWN
|
| | | 0 | | |
| 4 | 6 | 8 | 2 | 0 |
| | – | 0 | | |
| | | 8 | 2 | |
STEP 5: DIVIDE 82 : 46 = 1 with a remainder of 36
|
| | | 0 | 1 | |
| 4 | 6 | 8 | 2 | 0 |
| | – | 0 | | |
| | | 8 | 2 | |
STEP 6: MULTIPLY 1 · 46 = 46
|
| | | 0 | 1 | |
| 4 | 6 | 8 | 2 | 0 |
| | – | 0 | | |
| | | 8 | 2 | |
| | | 4 | 6 | |
STEP 7: SUBTRACT 82 - 46 = 36
|
| | | 0 | 1 | |
| 4 | 6 | 8 | 2 | 0 |
| | – | 0 | | |
| | | 8 | 2 | |
| | – | 4 | 6 | |
| | | 3 | 6 | |
|
STEP 8: BRING DOWN
|
| | | 0 | 1 | |
| 4 | 6 | 8 | 2 | 0 |
| | – | 0 | | |
| | | 8 | 2 | |
| | – | 4 | 6 | |
| | | 3 | 6 | 0 |
STEP 9: DIVIDE 360 : 46 = 7 with a remainder of 38
|
| | | 0 | 1 | 7 |
| 4 | 6 | 8 | 2 | 0 |
| | – | 0 | | |
| | | 8 | 2 | |
| | – | 4 | 6 | |
| | | 3 | 6 | 0 |
STEP 10: MULTIPLY 7 · 46 = 322
|
| | | 0 | 1 | 7 |
| 4 | 6 | 8 | 2 | 0 |
| | – | 0 | | |
| | | 8 | 2 | |
| | – | 4 | 6 | |
| | | 3 | 6 | 0 |
| | | 3 | 2 | 2 |
STEP 11: SUBTRACT 360 - 322 = 38
|
| | | 0 | 1 | 7 |
| 4 | 6 | 8 | 2 | 0 |
| | – | 0 | | |
| | | 8 | 2 | |
| | – | 4 | 6 | |
| | | 3 | 6 | 0 |
| | – | 3 | 2 | 2 |
| | | | 3 | 8 |
STEP 11: SUBTRACT 360 - 322 = 38
|
| | | 0 | 1 | 7 |
| 4 | 6 | 8 | 2 | 0 |
| | – | 0 | | |
| | | 8 | 2 | |
| | – | 4 | 6 | |
| | | 3 | 6 | 0 |
| | – | 3 | 2 | 2 |
| | | | 3 | 8 |
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