◀ back to index
Question
What is the quotient and remainder when $ 52056 $ is divided by $ 723 $ ?
Answer
The quotient is 72 and the remainder is 0.
Explanation
|
Division Table
|
| | | | 0 | 0 | 0 | 7 | 2 |
| 7 | 2 | 3 | 5 | 2 | 0 | 5 | 6 |
| | | – | 0 | | | | |
| | | | 5 | 2 | | | |
| | | | – | 0 | | | |
| | | | 5 | 2 | 0 | | |
| | | | | – | 0 | | |
| | | | 5 | 2 | 0 | 5 | |
| | | – | 5 | 0 | 6 | 1 | |
| | | | | 1 | 4 | 4 | 6 |
| | | | – | 1 | 4 | 4 | 6 |
| | | | | | | | 0 |
STEP 0: set up a division table
|
| | | | | | | | |
| 7 | 2 | 3 | 5 | 2 | 0 | 5 | 6 |
STEP 1: DIVIDE 5 : 723 = 0 with a remainder of 5
|
| | | | 0 | | | | |
| 7 | 2 | 3 | 5 | 2 | 0 | 5 | 6 |
STEP 2: MULTIPLY 0 · 723 = 0
|
| | | | 0 | | | | |
| 7 | 2 | 3 | 5 | 2 | 0 | 5 | 6 |
| | | | 0 | | | | |
STEP 3: SUBTRACT 5 - 0 = 5
|
| | | | 0 | | | | |
| 7 | 2 | 3 | 5 | 2 | 0 | 5 | 6 |
| | | – | 0 | | | | |
| | | | 5 | | | | |
|
STEP 4: BRING DOWN
|
| | | | 0 | | | | |
| 7 | 2 | 3 | 5 | 2 | 0 | 5 | 6 |
| | | – | 0 | | | | |
| | | | 5 | 2 | | | |
STEP 5: DIVIDE 52 : 723 = 0 with a remainder of 52
|
| | | | 0 | 0 | | | |
| 7 | 2 | 3 | 5 | 2 | 0 | 5 | 6 |
| | | – | 0 | | | | |
| | | | 5 | 2 | | | |
STEP 6: MULTIPLY 0 · 723 = 0
|
| | | | 0 | 0 | | | |
| 7 | 2 | 3 | 5 | 2 | 0 | 5 | 6 |
| | | – | 0 | | | | |
| | | | 5 | 2 | | | |
| | | | | 0 | | | |
STEP 7: SUBTRACT 52 - 0 = 52
|
| | | | 0 | 0 | | | |
| 7 | 2 | 3 | 5 | 2 | 0 | 5 | 6 |
| | | – | 0 | | | | |
| | | | 5 | 2 | | | |
| | | | – | 0 | | | |
| | | | 5 | 2 | | | |
|
STEP 8: BRING DOWN
|
| | | | 0 | 0 | | | |
| 7 | 2 | 3 | 5 | 2 | 0 | 5 | 6 |
| | | – | 0 | | | | |
| | | | 5 | 2 | | | |
| | | | – | 0 | | | |
| | | | 5 | 2 | 0 | | |
STEP 9: DIVIDE 520 : 723 = 0 with a remainder of 520
|
| | | | 0 | 0 | 0 | | |
| 7 | 2 | 3 | 5 | 2 | 0 | 5 | 6 |
| | | – | 0 | | | | |
| | | | 5 | 2 | | | |
| | | | – | 0 | | | |
| | | | 5 | 2 | 0 | | |
STEP 10: MULTIPLY 0 · 723 = 0
|
| | | | 0 | 0 | 0 | | |
| 7 | 2 | 3 | 5 | 2 | 0 | 5 | 6 |
| | | – | 0 | | | | |
| | | | 5 | 2 | | | |
| | | | – | 0 | | | |
| | | | 5 | 2 | 0 | | |
| | | | | | 0 | | |
STEP 11: SUBTRACT 520 - 0 = 520
|
| | | | 0 | 0 | 0 | | |
| 7 | 2 | 3 | 5 | 2 | 0 | 5 | 6 |
| | | – | 0 | | | | |
| | | | 5 | 2 | | | |
| | | | – | 0 | | | |
| | | | 5 | 2 | 0 | | |
| | | | | – | 0 | | |
| | | | 5 | 2 | 0 | | |
|
STEP 12: BRING DOWN
|
| | | | 0 | 0 | 0 | | |
| 7 | 2 | 3 | 5 | 2 | 0 | 5 | 6 |
| | | – | 0 | | | | |
| | | | 5 | 2 | | | |
| | | | – | 0 | | | |
| | | | 5 | 2 | 0 | | |
| | | | | – | 0 | | |
| | | | 5 | 2 | 0 | 5 | |
STEP 13: DIVIDE 5205 : 723 = 7 with a remainder of 144
|
| | | | 0 | 0 | 0 | 7 | |
| 7 | 2 | 3 | 5 | 2 | 0 | 5 | 6 |
| | | – | 0 | | | | |
| | | | 5 | 2 | | | |
| | | | – | 0 | | | |
| | | | 5 | 2 | 0 | | |
| | | | | – | 0 | | |
| | | | 5 | 2 | 0 | 5 | |
STEP 14: MULTIPLY 7 · 723 = 5061
|
| | | | 0 | 0 | 0 | 7 | |
| 7 | 2 | 3 | 5 | 2 | 0 | 5 | 6 |
| | | – | 0 | | | | |
| | | | 5 | 2 | | | |
| | | | – | 0 | | | |
| | | | 5 | 2 | 0 | | |
| | | | | – | 0 | | |
| | | | 5 | 2 | 0 | 5 | |
| | | | 5 | 0 | 6 | 1 | |
STEP 15: SUBTRACT 5205 - 5061 = 144
|
| | | | 0 | 0 | 0 | 7 | |
| 7 | 2 | 3 | 5 | 2 | 0 | 5 | 6 |
| | | – | 0 | | | | |
| | | | 5 | 2 | | | |
| | | | – | 0 | | | |
| | | | 5 | 2 | 0 | | |
| | | | | – | 0 | | |
| | | | 5 | 2 | 0 | 5 | |
| | | – | 5 | 0 | 6 | 1 | |
| | | | | 1 | 4 | 4 | |
|
STEP 16: BRING DOWN
|
| | | | 0 | 0 | 0 | 7 | |
| 7 | 2 | 3 | 5 | 2 | 0 | 5 | 6 |
| | | – | 0 | | | | |
| | | | 5 | 2 | | | |
| | | | – | 0 | | | |
| | | | 5 | 2 | 0 | | |
| | | | | – | 0 | | |
| | | | 5 | 2 | 0 | 5 | |
| | | – | 5 | 0 | 6 | 1 | |
| | | | | 1 | 4 | 4 | 6 |
STEP 17: DIVIDE 1446 : 723 = 2 with a remainder of 0
|
| | | | 0 | 0 | 0 | 7 | 2 |
| 7 | 2 | 3 | 5 | 2 | 0 | 5 | 6 |
| | | – | 0 | | | | |
| | | | 5 | 2 | | | |
| | | | – | 0 | | | |
| | | | 5 | 2 | 0 | | |
| | | | | – | 0 | | |
| | | | 5 | 2 | 0 | 5 | |
| | | – | 5 | 0 | 6 | 1 | |
| | | | | 1 | 4 | 4 | 6 |
STEP 18: MULTIPLY 2 · 723 = 1446
|
| | | | 0 | 0 | 0 | 7 | 2 |
| 7 | 2 | 3 | 5 | 2 | 0 | 5 | 6 |
| | | – | 0 | | | | |
| | | | 5 | 2 | | | |
| | | | – | 0 | | | |
| | | | 5 | 2 | 0 | | |
| | | | | – | 0 | | |
| | | | 5 | 2 | 0 | 5 | |
| | | – | 5 | 0 | 6 | 1 | |
| | | | | 1 | 4 | 4 | 6 |
| | | | | 1 | 4 | 4 | 6 |
STEP 19: SUBTRACT 1446 - 1446 = 0
|
| | | | 0 | 0 | 0 | 7 | 2 |
| 7 | 2 | 3 | 5 | 2 | 0 | 5 | 6 |
| | | – | 0 | | | | |
| | | | 5 | 2 | | | |
| | | | – | 0 | | | |
| | | | 5 | 2 | 0 | | |
| | | | | – | 0 | | |
| | | | 5 | 2 | 0 | 5 | |
| | | – | 5 | 0 | 6 | 1 | |
| | | | | 1 | 4 | 4 | 6 |
| | | | – | 1 | 4 | 4 | 6 |
| | | | | | | | 0 |
STEP 19: SUBTRACT 1446 - 1446 = 0
|
| | | | 0 | 0 | 0 | 7 | 2 |
| 7 | 2 | 3 | 5 | 2 | 0 | 5 | 6 |
| | | – | 0 | | | | |
| | | | 5 | 2 | | | |
| | | | – | 0 | | | |
| | | | 5 | 2 | 0 | | |
| | | | | – | 0 | | |
| | | | 5 | 2 | 0 | 5 | |
| | | – | 5 | 0 | 6 | 1 | |
| | | | | 1 | 4 | 4 | 6 |
| | | | – | 1 | 4 | 4 | 6 |
| | | | | | | | 0 |
This page was created using
Long division calculator