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Question
What is the quotient and remainder when $ 7820 $ is divided by $ 46 $ ?
Answer
The quotient is 170 and the remainder is 0.
Explanation
|
Division Table
|
| | | 0 | 1 | 7 | 0 |
| 4 | 6 | 7 | 8 | 2 | 0 |
| | – | 0 | | | |
| | | 7 | 8 | | |
| | – | 4 | 6 | | |
| | | 3 | 2 | 2 | |
| | – | 3 | 2 | 2 | |
| | | | | 0 | |
| | | | – | 0 | |
| | | | | 0 | |
STEP 0: set up a division table
|
| | | | | | |
| 4 | 6 | 7 | 8 | 2 | 0 |
STEP 1: DIVIDE 7 : 46 = 0 with a remainder of 7
|
| | | 0 | | | |
| 4 | 6 | 7 | 8 | 2 | 0 |
STEP 2: MULTIPLY 0 · 46 = 0
|
| | | 0 | | | |
| 4 | 6 | 7 | 8 | 2 | 0 |
| | | 0 | | | |
STEP 3: SUBTRACT 7 - 0 = 7
|
| | | 0 | | | |
| 4 | 6 | 7 | 8 | 2 | 0 |
| | – | 0 | | | |
| | | 7 | | | |
|
STEP 4: BRING DOWN
|
| | | 0 | | | |
| 4 | 6 | 7 | 8 | 2 | 0 |
| | – | 0 | | | |
| | | 7 | 8 | | |
STEP 5: DIVIDE 78 : 46 = 1 with a remainder of 32
|
| | | 0 | 1 | | |
| 4 | 6 | 7 | 8 | 2 | 0 |
| | – | 0 | | | |
| | | 7 | 8 | | |
STEP 6: MULTIPLY 1 · 46 = 46
|
| | | 0 | 1 | | |
| 4 | 6 | 7 | 8 | 2 | 0 |
| | – | 0 | | | |
| | | 7 | 8 | | |
| | | 4 | 6 | | |
STEP 7: SUBTRACT 78 - 46 = 32
|
| | | 0 | 1 | | |
| 4 | 6 | 7 | 8 | 2 | 0 |
| | – | 0 | | | |
| | | 7 | 8 | | |
| | – | 4 | 6 | | |
| | | 3 | 2 | | |
|
STEP 8: BRING DOWN
|
| | | 0 | 1 | | |
| 4 | 6 | 7 | 8 | 2 | 0 |
| | – | 0 | | | |
| | | 7 | 8 | | |
| | – | 4 | 6 | | |
| | | 3 | 2 | 2 | |
STEP 9: DIVIDE 322 : 46 = 7 with a remainder of 0
|
| | | 0 | 1 | 7 | |
| 4 | 6 | 7 | 8 | 2 | 0 |
| | – | 0 | | | |
| | | 7 | 8 | | |
| | – | 4 | 6 | | |
| | | 3 | 2 | 2 | |
STEP 10: MULTIPLY 7 · 46 = 322
|
| | | 0 | 1 | 7 | |
| 4 | 6 | 7 | 8 | 2 | 0 |
| | – | 0 | | | |
| | | 7 | 8 | | |
| | – | 4 | 6 | | |
| | | 3 | 2 | 2 | |
| | | 3 | 2 | 2 | |
STEP 11: SUBTRACT 322 - 322 = 0
|
| | | 0 | 1 | 7 | |
| 4 | 6 | 7 | 8 | 2 | 0 |
| | – | 0 | | | |
| | | 7 | 8 | | |
| | – | 4 | 6 | | |
| | | 3 | 2 | 2 | |
| | – | 3 | 2 | 2 | |
| | | | | 0 | |
|
STEP 12: BRING DOWN
|
| | | 0 | 1 | 7 | |
| 4 | 6 | 7 | 8 | 2 | 0 |
| | – | 0 | | | |
| | | 7 | 8 | | |
| | – | 4 | 6 | | |
| | | 3 | 2 | 2 | |
| | – | 3 | 2 | 2 | |
| | | | | 0 | |
STEP 13: DIVIDE 0 : 46 = 0 with a remainder of 0
|
| | | 0 | 1 | 7 | 0 |
| 4 | 6 | 7 | 8 | 2 | 0 |
| | – | 0 | | | |
| | | 7 | 8 | | |
| | – | 4 | 6 | | |
| | | 3 | 2 | 2 | |
| | – | 3 | 2 | 2 | |
| | | | | 0 | |
STEP 14: MULTIPLY 0 · 46 = 0
|
| | | 0 | 1 | 7 | 0 |
| 4 | 6 | 7 | 8 | 2 | 0 |
| | – | 0 | | | |
| | | 7 | 8 | | |
| | – | 4 | 6 | | |
| | | 3 | 2 | 2 | |
| | – | 3 | 2 | 2 | |
| | | | | 0 | |
| | | | | 0 | |
STEP 15: SUBTRACT 0 - 0 = 0
|
| | | 0 | 1 | 7 | 0 |
| 4 | 6 | 7 | 8 | 2 | 0 |
| | – | 0 | | | |
| | | 7 | 8 | | |
| | – | 4 | 6 | | |
| | | 3 | 2 | 2 | |
| | – | 3 | 2 | 2 | |
| | | | | 0 | |
| | | | – | 0 | |
| | | | | 0 | |
STEP 15: SUBTRACT 0 - 0 = 0
|
| | | 0 | 1 | 7 | 0 |
| 4 | 6 | 7 | 8 | 2 | 0 |
| | – | 0 | | | |
| | | 7 | 8 | | |
| | – | 4 | 6 | | |
| | | 3 | 2 | 2 | |
| | – | 3 | 2 | 2 | |
| | | | | 0 | |
| | | | – | 0 | |
| | | | | 0 | |
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