Question
What is the quotient and remainder when $ 5801 $ is divided by $ 289 $ ?
Answer
The quotient is 20 and the remainder is 21.
Explanation
| Division Table | ||||||
| 0 | 0 | 2 | 0 | |||
| 2 | 8 | 9 | 5 | 8 | 0 | 1 |
| – | 0 | |||||
| 5 | 8 | |||||
| – | 0 | |||||
| 5 | 8 | 0 | ||||
| – | 5 | 7 | 8 | |||
| 2 | 1 | |||||
| – | 0 | |||||
| 2 | 1 | |||||
|
STEP 0: set up a division table |
||||||
| 2 | 8 | 9 | 5 | 8 | 0 | 1 |
|
STEP 1: DIVIDE 5 : 289 = 0 with a remainder of 5 |
||||||
| 0 | ||||||
| 2 | 8 | 9 | 5 | 8 | 0 | 1 |
|
STEP 2: MULTIPLY 0 · 289 = 0 |
||||||
| 0 | ||||||
| 2 | 8 | 9 | 5 | 8 | 0 | 1 |
| 0 | ||||||
|
STEP 3: SUBTRACT 5 - 0 = 5 |
||||||
| 0 | ||||||
| 2 | 8 | 9 | 5 | 8 | 0 | 1 |
| – | 0 | |||||
| 5 | ||||||
| STEP 4: BRING DOWN | ||||||
| 0 | ||||||
| 2 | 8 | 9 | 5 | 8 | 0 | 1 |
| – | 0 | |||||
| 5 | 8 | |||||
|
STEP 5: DIVIDE 58 : 289 = 0 with a remainder of 58 |
||||||
| 0 | 0 | |||||
| 2 | 8 | 9 | 5 | 8 | 0 | 1 |
| – | 0 | |||||
| 5 | 8 | |||||
|
STEP 6: MULTIPLY 0 · 289 = 0 |
||||||
| 0 | 0 | |||||
| 2 | 8 | 9 | 5 | 8 | 0 | 1 |
| – | 0 | |||||
| 5 | 8 | |||||
| 0 | ||||||
|
STEP 7: SUBTRACT 58 - 0 = 58 |
||||||
| 0 | 0 | |||||
| 2 | 8 | 9 | 5 | 8 | 0 | 1 |
| – | 0 | |||||
| 5 | 8 | |||||
| – | 0 | |||||
| 5 | 8 | |||||
| STEP 8: BRING DOWN | ||||||
| 0 | 0 | |||||
| 2 | 8 | 9 | 5 | 8 | 0 | 1 |
| – | 0 | |||||
| 5 | 8 | |||||
| – | 0 | |||||
| 5 | 8 | 0 | ||||
|
STEP 9: DIVIDE 580 : 289 = 2 with a remainder of 2 |
||||||
| 0 | 0 | 2 | ||||
| 2 | 8 | 9 | 5 | 8 | 0 | 1 |
| – | 0 | |||||
| 5 | 8 | |||||
| – | 0 | |||||
| 5 | 8 | 0 | ||||
|
STEP 10: MULTIPLY 2 · 289 = 578 |
||||||
| 0 | 0 | 2 | ||||
| 2 | 8 | 9 | 5 | 8 | 0 | 1 |
| – | 0 | |||||
| 5 | 8 | |||||
| – | 0 | |||||
| 5 | 8 | 0 | ||||
| 5 | 7 | 8 | ||||
|
STEP 11: SUBTRACT 580 - 578 = 2 |
||||||
| 0 | 0 | 2 | ||||
| 2 | 8 | 9 | 5 | 8 | 0 | 1 |
| – | 0 | |||||
| 5 | 8 | |||||
| – | 0 | |||||
| 5 | 8 | 0 | ||||
| – | 5 | 7 | 8 | |||
| 2 | ||||||
| STEP 12: BRING DOWN | ||||||
| 0 | 0 | 2 | ||||
| 2 | 8 | 9 | 5 | 8 | 0 | 1 |
| – | 0 | |||||
| 5 | 8 | |||||
| – | 0 | |||||
| 5 | 8 | 0 | ||||
| – | 5 | 7 | 8 | |||
| 2 | 1 | |||||
|
STEP 13: DIVIDE 21 : 289 = 0 with a remainder of 21 |
||||||
| 0 | 0 | 2 | 0 | |||
| 2 | 8 | 9 | 5 | 8 | 0 | 1 |
| – | 0 | |||||
| 5 | 8 | |||||
| – | 0 | |||||
| 5 | 8 | 0 | ||||
| – | 5 | 7 | 8 | |||
| 2 | 1 | |||||
|
STEP 14: MULTIPLY 0 · 289 = 0 |
||||||
| 0 | 0 | 2 | 0 | |||
| 2 | 8 | 9 | 5 | 8 | 0 | 1 |
| – | 0 | |||||
| 5 | 8 | |||||
| – | 0 | |||||
| 5 | 8 | 0 | ||||
| – | 5 | 7 | 8 | |||
| 2 | 1 | |||||
| 0 | ||||||
|
STEP 15: SUBTRACT 21 - 0 = 21 |
||||||
| 0 | 0 | 2 | 0 | |||
| 2 | 8 | 9 | 5 | 8 | 0 | 1 |
| – | 0 | |||||
| 5 | 8 | |||||
| – | 0 | |||||
| 5 | 8 | 0 | ||||
| – | 5 | 7 | 8 | |||
| 2 | 1 | |||||
| – | 0 | |||||
| 2 | 1 | |||||
|
STEP 15: SUBTRACT 21 - 0 = 21 |
||||||
| 0 | 0 | 2 | 0 | |||
| 2 | 8 | 9 | 5 | 8 | 0 | 1 |
| – | 0 | |||||
| 5 | 8 | |||||
| – | 0 | |||||
| 5 | 8 | 0 | ||||
| – | 5 | 7 | 8 | |||
| 2 | 1 | |||||
| – | 0 | |||||
| 2 | 1 | |||||
This page was created using
Long division calculator