◀ back to index
Question
What is the quotient and remainder when $ 6307 $ is divided by $ 1453 $ ?
Answer
The quotient is 4 and the remainder is 495.
Explanation
|
Division Table
|
| | | | | 0 | 0 | 0 | 4 |
| 1 | 4 | 5 | 3 | 6 | 3 | 0 | 7 |
| | | | – | 0 | | | |
| | | | | 6 | 3 | | |
| | | | | – | 0 | | |
| | | | | 6 | 3 | 0 | |
| | | | | | – | 0 | |
| | | | | 6 | 3 | 0 | 7 |
| | | | – | 5 | 8 | 1 | 2 |
| | | | | | 4 | 9 | 5 |
STEP 0: set up a division table
|
| | | | | | | | |
| 1 | 4 | 5 | 3 | 6 | 3 | 0 | 7 |
STEP 1: DIVIDE 6 : 1453 = 0 with a remainder of 6
|
| | | | | 0 | | | |
| 1 | 4 | 5 | 3 | 6 | 3 | 0 | 7 |
STEP 2: MULTIPLY 0 · 1453 = 0
|
| | | | | 0 | | | |
| 1 | 4 | 5 | 3 | 6 | 3 | 0 | 7 |
| | | | | 0 | | | |
STEP 3: SUBTRACT 6 - 0 = 6
|
| | | | | 0 | | | |
| 1 | 4 | 5 | 3 | 6 | 3 | 0 | 7 |
| | | | – | 0 | | | |
| | | | | 6 | | | |
|
STEP 4: BRING DOWN
|
| | | | | 0 | | | |
| 1 | 4 | 5 | 3 | 6 | 3 | 0 | 7 |
| | | | – | 0 | | | |
| | | | | 6 | 3 | | |
STEP 5: DIVIDE 63 : 1453 = 0 with a remainder of 63
|
| | | | | 0 | 0 | | |
| 1 | 4 | 5 | 3 | 6 | 3 | 0 | 7 |
| | | | – | 0 | | | |
| | | | | 6 | 3 | | |
STEP 6: MULTIPLY 0 · 1453 = 0
|
| | | | | 0 | 0 | | |
| 1 | 4 | 5 | 3 | 6 | 3 | 0 | 7 |
| | | | – | 0 | | | |
| | | | | 6 | 3 | | |
| | | | | | 0 | | |
STEP 7: SUBTRACT 63 - 0 = 63
|
| | | | | 0 | 0 | | |
| 1 | 4 | 5 | 3 | 6 | 3 | 0 | 7 |
| | | | – | 0 | | | |
| | | | | 6 | 3 | | |
| | | | | – | 0 | | |
| | | | | 6 | 3 | | |
|
STEP 8: BRING DOWN
|
| | | | | 0 | 0 | | |
| 1 | 4 | 5 | 3 | 6 | 3 | 0 | 7 |
| | | | – | 0 | | | |
| | | | | 6 | 3 | | |
| | | | | – | 0 | | |
| | | | | 6 | 3 | 0 | |
STEP 9: DIVIDE 630 : 1453 = 0 with a remainder of 630
|
| | | | | 0 | 0 | 0 | |
| 1 | 4 | 5 | 3 | 6 | 3 | 0 | 7 |
| | | | – | 0 | | | |
| | | | | 6 | 3 | | |
| | | | | – | 0 | | |
| | | | | 6 | 3 | 0 | |
STEP 10: MULTIPLY 0 · 1453 = 0
|
| | | | | 0 | 0 | 0 | |
| 1 | 4 | 5 | 3 | 6 | 3 | 0 | 7 |
| | | | – | 0 | | | |
| | | | | 6 | 3 | | |
| | | | | – | 0 | | |
| | | | | 6 | 3 | 0 | |
| | | | | | | 0 | |
STEP 11: SUBTRACT 630 - 0 = 630
|
| | | | | 0 | 0 | 0 | |
| 1 | 4 | 5 | 3 | 6 | 3 | 0 | 7 |
| | | | – | 0 | | | |
| | | | | 6 | 3 | | |
| | | | | – | 0 | | |
| | | | | 6 | 3 | 0 | |
| | | | | | – | 0 | |
| | | | | 6 | 3 | 0 | |
|
STEP 12: BRING DOWN
|
| | | | | 0 | 0 | 0 | |
| 1 | 4 | 5 | 3 | 6 | 3 | 0 | 7 |
| | | | – | 0 | | | |
| | | | | 6 | 3 | | |
| | | | | – | 0 | | |
| | | | | 6 | 3 | 0 | |
| | | | | | – | 0 | |
| | | | | 6 | 3 | 0 | 7 |
STEP 13: DIVIDE 6307 : 1453 = 4 with a remainder of 495
|
| | | | | 0 | 0 | 0 | 4 |
| 1 | 4 | 5 | 3 | 6 | 3 | 0 | 7 |
| | | | – | 0 | | | |
| | | | | 6 | 3 | | |
| | | | | – | 0 | | |
| | | | | 6 | 3 | 0 | |
| | | | | | – | 0 | |
| | | | | 6 | 3 | 0 | 7 |
STEP 14: MULTIPLY 4 · 1453 = 5812
|
| | | | | 0 | 0 | 0 | 4 |
| 1 | 4 | 5 | 3 | 6 | 3 | 0 | 7 |
| | | | – | 0 | | | |
| | | | | 6 | 3 | | |
| | | | | – | 0 | | |
| | | | | 6 | 3 | 0 | |
| | | | | | – | 0 | |
| | | | | 6 | 3 | 0 | 7 |
| | | | | 5 | 8 | 1 | 2 |
STEP 15: SUBTRACT 6307 - 5812 = 495
|
| | | | | 0 | 0 | 0 | 4 |
| 1 | 4 | 5 | 3 | 6 | 3 | 0 | 7 |
| | | | – | 0 | | | |
| | | | | 6 | 3 | | |
| | | | | – | 0 | | |
| | | | | 6 | 3 | 0 | |
| | | | | | – | 0 | |
| | | | | 6 | 3 | 0 | 7 |
| | | | – | 5 | 8 | 1 | 2 |
| | | | | | 4 | 9 | 5 |
STEP 15: SUBTRACT 6307 - 5812 = 495
|
| | | | | 0 | 0 | 0 | 4 |
| 1 | 4 | 5 | 3 | 6 | 3 | 0 | 7 |
| | | | – | 0 | | | |
| | | | | 6 | 3 | | |
| | | | | – | 0 | | |
| | | | | 6 | 3 | 0 | |
| | | | | | – | 0 | |
| | | | | 6 | 3 | 0 | 7 |
| | | | – | 5 | 8 | 1 | 2 |
| | | | | | 4 | 9 | 5 |
This page was created using
Long division calculator