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Question
What is the quotient and remainder when $ 4290 $ is divided by $ 78 $ ?
Answer
The quotient is 55 and the remainder is 0.
Explanation
|
Division Table
|
| | | 0 | 0 | 5 | 5 |
| 7 | 8 | 4 | 2 | 9 | 0 |
| | – | 0 | | | |
| | | 4 | 2 | | |
| | | – | 0 | | |
| | | 4 | 2 | 9 | |
| | – | 3 | 9 | 0 | |
| | | | 3 | 9 | 0 |
| | | – | 3 | 9 | 0 |
| | | | | | 0 |
STEP 0: set up a division table
|
| | | | | | |
| 7 | 8 | 4 | 2 | 9 | 0 |
STEP 1: DIVIDE 4 : 78 = 0 with a remainder of 4
|
| | | 0 | | | |
| 7 | 8 | 4 | 2 | 9 | 0 |
STEP 2: MULTIPLY 0 · 78 = 0
|
| | | 0 | | | |
| 7 | 8 | 4 | 2 | 9 | 0 |
| | | 0 | | | |
STEP 3: SUBTRACT 4 - 0 = 4
|
| | | 0 | | | |
| 7 | 8 | 4 | 2 | 9 | 0 |
| | – | 0 | | | |
| | | 4 | | | |
|
STEP 4: BRING DOWN
|
| | | 0 | | | |
| 7 | 8 | 4 | 2 | 9 | 0 |
| | – | 0 | | | |
| | | 4 | 2 | | |
STEP 5: DIVIDE 42 : 78 = 0 with a remainder of 42
|
| | | 0 | 0 | | |
| 7 | 8 | 4 | 2 | 9 | 0 |
| | – | 0 | | | |
| | | 4 | 2 | | |
STEP 6: MULTIPLY 0 · 78 = 0
|
| | | 0 | 0 | | |
| 7 | 8 | 4 | 2 | 9 | 0 |
| | – | 0 | | | |
| | | 4 | 2 | | |
| | | | 0 | | |
STEP 7: SUBTRACT 42 - 0 = 42
|
| | | 0 | 0 | | |
| 7 | 8 | 4 | 2 | 9 | 0 |
| | – | 0 | | | |
| | | 4 | 2 | | |
| | | – | 0 | | |
| | | 4 | 2 | | |
|
STEP 8: BRING DOWN
|
| | | 0 | 0 | | |
| 7 | 8 | 4 | 2 | 9 | 0 |
| | – | 0 | | | |
| | | 4 | 2 | | |
| | | – | 0 | | |
| | | 4 | 2 | 9 | |
STEP 9: DIVIDE 429 : 78 = 5 with a remainder of 39
|
| | | 0 | 0 | 5 | |
| 7 | 8 | 4 | 2 | 9 | 0 |
| | – | 0 | | | |
| | | 4 | 2 | | |
| | | – | 0 | | |
| | | 4 | 2 | 9 | |
STEP 10: MULTIPLY 5 · 78 = 390
|
| | | 0 | 0 | 5 | |
| 7 | 8 | 4 | 2 | 9 | 0 |
| | – | 0 | | | |
| | | 4 | 2 | | |
| | | – | 0 | | |
| | | 4 | 2 | 9 | |
| | | 3 | 9 | 0 | |
STEP 11: SUBTRACT 429 - 390 = 39
|
| | | 0 | 0 | 5 | |
| 7 | 8 | 4 | 2 | 9 | 0 |
| | – | 0 | | | |
| | | 4 | 2 | | |
| | | – | 0 | | |
| | | 4 | 2 | 9 | |
| | – | 3 | 9 | 0 | |
| | | | 3 | 9 | |
|
STEP 12: BRING DOWN
|
| | | 0 | 0 | 5 | |
| 7 | 8 | 4 | 2 | 9 | 0 |
| | – | 0 | | | |
| | | 4 | 2 | | |
| | | – | 0 | | |
| | | 4 | 2 | 9 | |
| | – | 3 | 9 | 0 | |
| | | | 3 | 9 | 0 |
STEP 13: DIVIDE 390 : 78 = 5 with a remainder of 0
|
| | | 0 | 0 | 5 | 5 |
| 7 | 8 | 4 | 2 | 9 | 0 |
| | – | 0 | | | |
| | | 4 | 2 | | |
| | | – | 0 | | |
| | | 4 | 2 | 9 | |
| | – | 3 | 9 | 0 | |
| | | | 3 | 9 | 0 |
STEP 14: MULTIPLY 5 · 78 = 390
|
| | | 0 | 0 | 5 | 5 |
| 7 | 8 | 4 | 2 | 9 | 0 |
| | – | 0 | | | |
| | | 4 | 2 | | |
| | | – | 0 | | |
| | | 4 | 2 | 9 | |
| | – | 3 | 9 | 0 | |
| | | | 3 | 9 | 0 |
| | | | 3 | 9 | 0 |
STEP 15: SUBTRACT 390 - 390 = 0
|
| | | 0 | 0 | 5 | 5 |
| 7 | 8 | 4 | 2 | 9 | 0 |
| | – | 0 | | | |
| | | 4 | 2 | | |
| | | – | 0 | | |
| | | 4 | 2 | 9 | |
| | – | 3 | 9 | 0 | |
| | | | 3 | 9 | 0 |
| | | – | 3 | 9 | 0 |
| | | | | | 0 |
STEP 15: SUBTRACT 390 - 390 = 0
|
| | | 0 | 0 | 5 | 5 |
| 7 | 8 | 4 | 2 | 9 | 0 |
| | – | 0 | | | |
| | | 4 | 2 | | |
| | | – | 0 | | |
| | | 4 | 2 | 9 | |
| | – | 3 | 9 | 0 | |
| | | | 3 | 9 | 0 |
| | | – | 3 | 9 | 0 |
| | | | | | 0 |
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