◀ back to index
Question
What is the quotient and remainder when $ 5258 $ is divided by $ 44 $ ?
Answer
The quotient is 119 and the remainder is 22.
Explanation
|
Division Table
|
| | | 0 | 1 | 1 | 9 |
| 4 | 4 | 5 | 2 | 5 | 8 |
| | – | 0 | | | |
| | | 5 | 2 | | |
| | – | 4 | 4 | | |
| | | | 8 | 5 | |
| | | – | 4 | 4 | |
| | | | 4 | 1 | 8 |
| | | – | 3 | 9 | 6 |
| | | | | 2 | 2 |
STEP 0: set up a division table
|
| | | | | | |
| 4 | 4 | 5 | 2 | 5 | 8 |
STEP 1: DIVIDE 5 : 44 = 0 with a remainder of 5
|
| | | 0 | | | |
| 4 | 4 | 5 | 2 | 5 | 8 |
STEP 2: MULTIPLY 0 · 44 = 0
|
| | | 0 | | | |
| 4 | 4 | 5 | 2 | 5 | 8 |
| | | 0 | | | |
STEP 3: SUBTRACT 5 - 0 = 5
|
| | | 0 | | | |
| 4 | 4 | 5 | 2 | 5 | 8 |
| | – | 0 | | | |
| | | 5 | | | |
|
STEP 4: BRING DOWN
|
| | | 0 | | | |
| 4 | 4 | 5 | 2 | 5 | 8 |
| | – | 0 | | | |
| | | 5 | 2 | | |
STEP 5: DIVIDE 52 : 44 = 1 with a remainder of 8
|
| | | 0 | 1 | | |
| 4 | 4 | 5 | 2 | 5 | 8 |
| | – | 0 | | | |
| | | 5 | 2 | | |
STEP 6: MULTIPLY 1 · 44 = 44
|
| | | 0 | 1 | | |
| 4 | 4 | 5 | 2 | 5 | 8 |
| | – | 0 | | | |
| | | 5 | 2 | | |
| | | 4 | 4 | | |
STEP 7: SUBTRACT 52 - 44 = 8
|
| | | 0 | 1 | | |
| 4 | 4 | 5 | 2 | 5 | 8 |
| | – | 0 | | | |
| | | 5 | 2 | | |
| | – | 4 | 4 | | |
| | | | 8 | | |
|
STEP 8: BRING DOWN
|
| | | 0 | 1 | | |
| 4 | 4 | 5 | 2 | 5 | 8 |
| | – | 0 | | | |
| | | 5 | 2 | | |
| | – | 4 | 4 | | |
| | | | 8 | 5 | |
STEP 9: DIVIDE 85 : 44 = 1 with a remainder of 41
|
| | | 0 | 1 | 1 | |
| 4 | 4 | 5 | 2 | 5 | 8 |
| | – | 0 | | | |
| | | 5 | 2 | | |
| | – | 4 | 4 | | |
| | | | 8 | 5 | |
STEP 10: MULTIPLY 1 · 44 = 44
|
| | | 0 | 1 | 1 | |
| 4 | 4 | 5 | 2 | 5 | 8 |
| | – | 0 | | | |
| | | 5 | 2 | | |
| | – | 4 | 4 | | |
| | | | 8 | 5 | |
| | | | 4 | 4 | |
STEP 11: SUBTRACT 85 - 44 = 41
|
| | | 0 | 1 | 1 | |
| 4 | 4 | 5 | 2 | 5 | 8 |
| | – | 0 | | | |
| | | 5 | 2 | | |
| | – | 4 | 4 | | |
| | | | 8 | 5 | |
| | | – | 4 | 4 | |
| | | | 4 | 1 | |
|
STEP 12: BRING DOWN
|
| | | 0 | 1 | 1 | |
| 4 | 4 | 5 | 2 | 5 | 8 |
| | – | 0 | | | |
| | | 5 | 2 | | |
| | – | 4 | 4 | | |
| | | | 8 | 5 | |
| | | – | 4 | 4 | |
| | | | 4 | 1 | 8 |
STEP 13: DIVIDE 418 : 44 = 9 with a remainder of 22
|
| | | 0 | 1 | 1 | 9 |
| 4 | 4 | 5 | 2 | 5 | 8 |
| | – | 0 | | | |
| | | 5 | 2 | | |
| | – | 4 | 4 | | |
| | | | 8 | 5 | |
| | | – | 4 | 4 | |
| | | | 4 | 1 | 8 |
STEP 14: MULTIPLY 9 · 44 = 396
|
| | | 0 | 1 | 1 | 9 |
| 4 | 4 | 5 | 2 | 5 | 8 |
| | – | 0 | | | |
| | | 5 | 2 | | |
| | – | 4 | 4 | | |
| | | | 8 | 5 | |
| | | – | 4 | 4 | |
| | | | 4 | 1 | 8 |
| | | | 3 | 9 | 6 |
STEP 15: SUBTRACT 418 - 396 = 22
|
| | | 0 | 1 | 1 | 9 |
| 4 | 4 | 5 | 2 | 5 | 8 |
| | – | 0 | | | |
| | | 5 | 2 | | |
| | – | 4 | 4 | | |
| | | | 8 | 5 | |
| | | – | 4 | 4 | |
| | | | 4 | 1 | 8 |
| | | – | 3 | 9 | 6 |
| | | | | 2 | 2 |
STEP 15: SUBTRACT 418 - 396 = 22
|
| | | 0 | 1 | 1 | 9 |
| 4 | 4 | 5 | 2 | 5 | 8 |
| | – | 0 | | | |
| | | 5 | 2 | | |
| | – | 4 | 4 | | |
| | | | 8 | 5 | |
| | | – | 4 | 4 | |
| | | | 4 | 1 | 8 |
| | | – | 3 | 9 | 6 |
| | | | | 2 | 2 |
This page was created using
Long division calculator