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Question
What is the quotient and remainder when $ 14300 $ is divided by $ 3249 $ ?
Answer
The quotient is 4 and the remainder is 1304.
Explanation
|
Division Table
|
| | | | | 0 | 0 | 0 | 0 | 4 |
| 3 | 2 | 4 | 9 | 1 | 4 | 3 | 0 | 0 |
| | | | – | 0 | | | | |
| | | | | 1 | 4 | | | |
| | | | | – | 0 | | | |
| | | | | 1 | 4 | 3 | | |
| | | | | | – | 0 | | |
| | | | | 1 | 4 | 3 | 0 | |
| | | | | | | – | 0 | |
| | | | | 1 | 4 | 3 | 0 | 0 |
| | | | – | 1 | 2 | 9 | 9 | 6 |
| | | | | | 1 | 3 | 0 | 4 |
STEP 0: set up a division table
|
| | | | | | | | | |
| 3 | 2 | 4 | 9 | 1 | 4 | 3 | 0 | 0 |
STEP 1: DIVIDE 1 : 3249 = 0 with a remainder of 1
|
| | | | | 0 | | | | |
| 3 | 2 | 4 | 9 | 1 | 4 | 3 | 0 | 0 |
STEP 2: MULTIPLY 0 · 3249 = 0
|
| | | | | 0 | | | | |
| 3 | 2 | 4 | 9 | 1 | 4 | 3 | 0 | 0 |
| | | | | 0 | | | | |
STEP 3: SUBTRACT 1 - 0 = 1
|
| | | | | 0 | | | | |
| 3 | 2 | 4 | 9 | 1 | 4 | 3 | 0 | 0 |
| | | | – | 0 | | | | |
| | | | | 1 | | | | |
|
STEP 4: BRING DOWN
|
| | | | | 0 | | | | |
| 3 | 2 | 4 | 9 | 1 | 4 | 3 | 0 | 0 |
| | | | – | 0 | | | | |
| | | | | 1 | 4 | | | |
STEP 5: DIVIDE 14 : 3249 = 0 with a remainder of 14
|
| | | | | 0 | 0 | | | |
| 3 | 2 | 4 | 9 | 1 | 4 | 3 | 0 | 0 |
| | | | – | 0 | | | | |
| | | | | 1 | 4 | | | |
STEP 6: MULTIPLY 0 · 3249 = 0
|
| | | | | 0 | 0 | | | |
| 3 | 2 | 4 | 9 | 1 | 4 | 3 | 0 | 0 |
| | | | – | 0 | | | | |
| | | | | 1 | 4 | | | |
| | | | | | 0 | | | |
STEP 7: SUBTRACT 14 - 0 = 14
|
| | | | | 0 | 0 | | | |
| 3 | 2 | 4 | 9 | 1 | 4 | 3 | 0 | 0 |
| | | | – | 0 | | | | |
| | | | | 1 | 4 | | | |
| | | | | – | 0 | | | |
| | | | | 1 | 4 | | | |
|
STEP 8: BRING DOWN
|
| | | | | 0 | 0 | | | |
| 3 | 2 | 4 | 9 | 1 | 4 | 3 | 0 | 0 |
| | | | – | 0 | | | | |
| | | | | 1 | 4 | | | |
| | | | | – | 0 | | | |
| | | | | 1 | 4 | 3 | | |
STEP 9: DIVIDE 143 : 3249 = 0 with a remainder of 143
|
| | | | | 0 | 0 | 0 | | |
| 3 | 2 | 4 | 9 | 1 | 4 | 3 | 0 | 0 |
| | | | – | 0 | | | | |
| | | | | 1 | 4 | | | |
| | | | | – | 0 | | | |
| | | | | 1 | 4 | 3 | | |
STEP 10: MULTIPLY 0 · 3249 = 0
|
| | | | | 0 | 0 | 0 | | |
| 3 | 2 | 4 | 9 | 1 | 4 | 3 | 0 | 0 |
| | | | – | 0 | | | | |
| | | | | 1 | 4 | | | |
| | | | | – | 0 | | | |
| | | | | 1 | 4 | 3 | | |
| | | | | | | 0 | | |
STEP 11: SUBTRACT 143 - 0 = 143
|
| | | | | 0 | 0 | 0 | | |
| 3 | 2 | 4 | 9 | 1 | 4 | 3 | 0 | 0 |
| | | | – | 0 | | | | |
| | | | | 1 | 4 | | | |
| | | | | – | 0 | | | |
| | | | | 1 | 4 | 3 | | |
| | | | | | – | 0 | | |
| | | | | 1 | 4 | 3 | | |
|
STEP 12: BRING DOWN
|
| | | | | 0 | 0 | 0 | | |
| 3 | 2 | 4 | 9 | 1 | 4 | 3 | 0 | 0 |
| | | | – | 0 | | | | |
| | | | | 1 | 4 | | | |
| | | | | – | 0 | | | |
| | | | | 1 | 4 | 3 | | |
| | | | | | – | 0 | | |
| | | | | 1 | 4 | 3 | 0 | |
STEP 13: DIVIDE 1430 : 3249 = 0 with a remainder of 1430
|
| | | | | 0 | 0 | 0 | 0 | |
| 3 | 2 | 4 | 9 | 1 | 4 | 3 | 0 | 0 |
| | | | – | 0 | | | | |
| | | | | 1 | 4 | | | |
| | | | | – | 0 | | | |
| | | | | 1 | 4 | 3 | | |
| | | | | | – | 0 | | |
| | | | | 1 | 4 | 3 | 0 | |
STEP 14: MULTIPLY 0 · 3249 = 0
|
| | | | | 0 | 0 | 0 | 0 | |
| 3 | 2 | 4 | 9 | 1 | 4 | 3 | 0 | 0 |
| | | | – | 0 | | | | |
| | | | | 1 | 4 | | | |
| | | | | – | 0 | | | |
| | | | | 1 | 4 | 3 | | |
| | | | | | – | 0 | | |
| | | | | 1 | 4 | 3 | 0 | |
| | | | | | | | 0 | |
STEP 15: SUBTRACT 1430 - 0 = 1430
|
| | | | | 0 | 0 | 0 | 0 | |
| 3 | 2 | 4 | 9 | 1 | 4 | 3 | 0 | 0 |
| | | | – | 0 | | | | |
| | | | | 1 | 4 | | | |
| | | | | – | 0 | | | |
| | | | | 1 | 4 | 3 | | |
| | | | | | – | 0 | | |
| | | | | 1 | 4 | 3 | 0 | |
| | | | | | | – | 0 | |
| | | | | 1 | 4 | 3 | 0 | |
|
STEP 16: BRING DOWN
|
| | | | | 0 | 0 | 0 | 0 | |
| 3 | 2 | 4 | 9 | 1 | 4 | 3 | 0 | 0 |
| | | | – | 0 | | | | |
| | | | | 1 | 4 | | | |
| | | | | – | 0 | | | |
| | | | | 1 | 4 | 3 | | |
| | | | | | – | 0 | | |
| | | | | 1 | 4 | 3 | 0 | |
| | | | | | | – | 0 | |
| | | | | 1 | 4 | 3 | 0 | 0 |
STEP 17: DIVIDE 14300 : 3249 = 4 with a remainder of 1304
|
| | | | | 0 | 0 | 0 | 0 | 4 |
| 3 | 2 | 4 | 9 | 1 | 4 | 3 | 0 | 0 |
| | | | – | 0 | | | | |
| | | | | 1 | 4 | | | |
| | | | | – | 0 | | | |
| | | | | 1 | 4 | 3 | | |
| | | | | | – | 0 | | |
| | | | | 1 | 4 | 3 | 0 | |
| | | | | | | – | 0 | |
| | | | | 1 | 4 | 3 | 0 | 0 |
STEP 18: MULTIPLY 4 · 3249 = 12996
|
| | | | | 0 | 0 | 0 | 0 | 4 |
| 3 | 2 | 4 | 9 | 1 | 4 | 3 | 0 | 0 |
| | | | – | 0 | | | | |
| | | | | 1 | 4 | | | |
| | | | | – | 0 | | | |
| | | | | 1 | 4 | 3 | | |
| | | | | | – | 0 | | |
| | | | | 1 | 4 | 3 | 0 | |
| | | | | | | – | 0 | |
| | | | | 1 | 4 | 3 | 0 | 0 |
| | | | | 1 | 2 | 9 | 9 | 6 |
STEP 19: SUBTRACT 14300 - 12996 = 1304
|
| | | | | 0 | 0 | 0 | 0 | 4 |
| 3 | 2 | 4 | 9 | 1 | 4 | 3 | 0 | 0 |
| | | | – | 0 | | | | |
| | | | | 1 | 4 | | | |
| | | | | – | 0 | | | |
| | | | | 1 | 4 | 3 | | |
| | | | | | – | 0 | | |
| | | | | 1 | 4 | 3 | 0 | |
| | | | | | | – | 0 | |
| | | | | 1 | 4 | 3 | 0 | 0 |
| | | | – | 1 | 2 | 9 | 9 | 6 |
| | | | | | 1 | 3 | 0 | 4 |
STEP 19: SUBTRACT 14300 - 12996 = 1304
|
| | | | | 0 | 0 | 0 | 0 | 4 |
| 3 | 2 | 4 | 9 | 1 | 4 | 3 | 0 | 0 |
| | | | – | 0 | | | | |
| | | | | 1 | 4 | | | |
| | | | | – | 0 | | | |
| | | | | 1 | 4 | 3 | | |
| | | | | | – | 0 | | |
| | | | | 1 | 4 | 3 | 0 | |
| | | | | | | – | 0 | |
| | | | | 1 | 4 | 3 | 0 | 0 |
| | | | – | 1 | 2 | 9 | 9 | 6 |
| | | | | | 1 | 3 | 0 | 4 |
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