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Question
What is the quotient and remainder when $ 3429 $ is divided by $ 40 $ ?
Answer
The quotient is 85 and the remainder is 29.
Explanation
|
Division Table
|
| | | 0 | 0 | 8 | 5 |
| 4 | 0 | 3 | 4 | 2 | 9 |
| | – | 0 | | | |
| | | 3 | 4 | | |
| | | – | 0 | | |
| | | 3 | 4 | 2 | |
| | – | 3 | 2 | 0 | |
| | | | 2 | 2 | 9 |
| | | – | 2 | 0 | 0 |
| | | | | 2 | 9 |
STEP 0: set up a division table
|
| | | | | | |
| 4 | 0 | 3 | 4 | 2 | 9 |
STEP 1: DIVIDE 3 : 40 = 0 with a remainder of 3
|
| | | 0 | | | |
| 4 | 0 | 3 | 4 | 2 | 9 |
STEP 2: MULTIPLY 0 · 40 = 0
|
| | | 0 | | | |
| 4 | 0 | 3 | 4 | 2 | 9 |
| | | 0 | | | |
STEP 3: SUBTRACT 3 - 0 = 3
|
| | | 0 | | | |
| 4 | 0 | 3 | 4 | 2 | 9 |
| | – | 0 | | | |
| | | 3 | | | |
|
STEP 4: BRING DOWN
|
| | | 0 | | | |
| 4 | 0 | 3 | 4 | 2 | 9 |
| | – | 0 | | | |
| | | 3 | 4 | | |
STEP 5: DIVIDE 34 : 40 = 0 with a remainder of 34
|
| | | 0 | 0 | | |
| 4 | 0 | 3 | 4 | 2 | 9 |
| | – | 0 | | | |
| | | 3 | 4 | | |
STEP 6: MULTIPLY 0 · 40 = 0
|
| | | 0 | 0 | | |
| 4 | 0 | 3 | 4 | 2 | 9 |
| | – | 0 | | | |
| | | 3 | 4 | | |
| | | | 0 | | |
STEP 7: SUBTRACT 34 - 0 = 34
|
| | | 0 | 0 | | |
| 4 | 0 | 3 | 4 | 2 | 9 |
| | – | 0 | | | |
| | | 3 | 4 | | |
| | | – | 0 | | |
| | | 3 | 4 | | |
|
STEP 8: BRING DOWN
|
| | | 0 | 0 | | |
| 4 | 0 | 3 | 4 | 2 | 9 |
| | – | 0 | | | |
| | | 3 | 4 | | |
| | | – | 0 | | |
| | | 3 | 4 | 2 | |
STEP 9: DIVIDE 342 : 40 = 8 with a remainder of 22
|
| | | 0 | 0 | 8 | |
| 4 | 0 | 3 | 4 | 2 | 9 |
| | – | 0 | | | |
| | | 3 | 4 | | |
| | | – | 0 | | |
| | | 3 | 4 | 2 | |
STEP 10: MULTIPLY 8 · 40 = 320
|
| | | 0 | 0 | 8 | |
| 4 | 0 | 3 | 4 | 2 | 9 |
| | – | 0 | | | |
| | | 3 | 4 | | |
| | | – | 0 | | |
| | | 3 | 4 | 2 | |
| | | 3 | 2 | 0 | |
STEP 11: SUBTRACT 342 - 320 = 22
|
| | | 0 | 0 | 8 | |
| 4 | 0 | 3 | 4 | 2 | 9 |
| | – | 0 | | | |
| | | 3 | 4 | | |
| | | – | 0 | | |
| | | 3 | 4 | 2 | |
| | – | 3 | 2 | 0 | |
| | | | 2 | 2 | |
|
STEP 12: BRING DOWN
|
| | | 0 | 0 | 8 | |
| 4 | 0 | 3 | 4 | 2 | 9 |
| | – | 0 | | | |
| | | 3 | 4 | | |
| | | – | 0 | | |
| | | 3 | 4 | 2 | |
| | – | 3 | 2 | 0 | |
| | | | 2 | 2 | 9 |
STEP 13: DIVIDE 229 : 40 = 5 with a remainder of 29
|
| | | 0 | 0 | 8 | 5 |
| 4 | 0 | 3 | 4 | 2 | 9 |
| | – | 0 | | | |
| | | 3 | 4 | | |
| | | – | 0 | | |
| | | 3 | 4 | 2 | |
| | – | 3 | 2 | 0 | |
| | | | 2 | 2 | 9 |
STEP 14: MULTIPLY 5 · 40 = 200
|
| | | 0 | 0 | 8 | 5 |
| 4 | 0 | 3 | 4 | 2 | 9 |
| | – | 0 | | | |
| | | 3 | 4 | | |
| | | – | 0 | | |
| | | 3 | 4 | 2 | |
| | – | 3 | 2 | 0 | |
| | | | 2 | 2 | 9 |
| | | | 2 | 0 | 0 |
STEP 15: SUBTRACT 229 - 200 = 29
|
| | | 0 | 0 | 8 | 5 |
| 4 | 0 | 3 | 4 | 2 | 9 |
| | – | 0 | | | |
| | | 3 | 4 | | |
| | | – | 0 | | |
| | | 3 | 4 | 2 | |
| | – | 3 | 2 | 0 | |
| | | | 2 | 2 | 9 |
| | | – | 2 | 0 | 0 |
| | | | | 2 | 9 |
STEP 15: SUBTRACT 229 - 200 = 29
|
| | | 0 | 0 | 8 | 5 |
| 4 | 0 | 3 | 4 | 2 | 9 |
| | – | 0 | | | |
| | | 3 | 4 | | |
| | | – | 0 | | |
| | | 3 | 4 | 2 | |
| | – | 3 | 2 | 0 | |
| | | | 2 | 2 | 9 |
| | | – | 2 | 0 | 0 |
| | | | | 2 | 9 |
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