Question
What is the quotient and remainder when $ 3520 $ is divided by $ 401 $ ?
Answer
The quotient is 8 and the remainder is 312.
Explanation
| Division Table | ||||||
| 0 | 0 | 0 | 8 | |||
| 4 | 0 | 1 | 3 | 5 | 2 | 0 |
| – | 0 | |||||
| 3 | 5 | |||||
| – | 0 | |||||
| 3 | 5 | 2 | ||||
| – | 0 | |||||
| 3 | 5 | 2 | 0 | |||
| – | 3 | 2 | 0 | 8 | ||
| 3 | 1 | 2 | ||||
|
STEP 0: set up a division table |
||||||
| 4 | 0 | 1 | 3 | 5 | 2 | 0 |
|
STEP 1: DIVIDE 3 : 401 = 0 with a remainder of 3 |
||||||
| 0 | ||||||
| 4 | 0 | 1 | 3 | 5 | 2 | 0 |
|
STEP 2: MULTIPLY 0 · 401 = 0 |
||||||
| 0 | ||||||
| 4 | 0 | 1 | 3 | 5 | 2 | 0 |
| 0 | ||||||
|
STEP 3: SUBTRACT 3 - 0 = 3 |
||||||
| 0 | ||||||
| 4 | 0 | 1 | 3 | 5 | 2 | 0 |
| – | 0 | |||||
| 3 | ||||||
| STEP 4: BRING DOWN | ||||||
| 0 | ||||||
| 4 | 0 | 1 | 3 | 5 | 2 | 0 |
| – | 0 | |||||
| 3 | 5 | |||||
|
STEP 5: DIVIDE 35 : 401 = 0 with a remainder of 35 |
||||||
| 0 | 0 | |||||
| 4 | 0 | 1 | 3 | 5 | 2 | 0 |
| – | 0 | |||||
| 3 | 5 | |||||
|
STEP 6: MULTIPLY 0 · 401 = 0 |
||||||
| 0 | 0 | |||||
| 4 | 0 | 1 | 3 | 5 | 2 | 0 |
| – | 0 | |||||
| 3 | 5 | |||||
| 0 | ||||||
|
STEP 7: SUBTRACT 35 - 0 = 35 |
||||||
| 0 | 0 | |||||
| 4 | 0 | 1 | 3 | 5 | 2 | 0 |
| – | 0 | |||||
| 3 | 5 | |||||
| – | 0 | |||||
| 3 | 5 | |||||
| STEP 8: BRING DOWN | ||||||
| 0 | 0 | |||||
| 4 | 0 | 1 | 3 | 5 | 2 | 0 |
| – | 0 | |||||
| 3 | 5 | |||||
| – | 0 | |||||
| 3 | 5 | 2 | ||||
|
STEP 9: DIVIDE 352 : 401 = 0 with a remainder of 352 |
||||||
| 0 | 0 | 0 | ||||
| 4 | 0 | 1 | 3 | 5 | 2 | 0 |
| – | 0 | |||||
| 3 | 5 | |||||
| – | 0 | |||||
| 3 | 5 | 2 | ||||
|
STEP 10: MULTIPLY 0 · 401 = 0 |
||||||
| 0 | 0 | 0 | ||||
| 4 | 0 | 1 | 3 | 5 | 2 | 0 |
| – | 0 | |||||
| 3 | 5 | |||||
| – | 0 | |||||
| 3 | 5 | 2 | ||||
| 0 | ||||||
|
STEP 11: SUBTRACT 352 - 0 = 352 |
||||||
| 0 | 0 | 0 | ||||
| 4 | 0 | 1 | 3 | 5 | 2 | 0 |
| – | 0 | |||||
| 3 | 5 | |||||
| – | 0 | |||||
| 3 | 5 | 2 | ||||
| – | 0 | |||||
| 3 | 5 | 2 | ||||
| STEP 12: BRING DOWN | ||||||
| 0 | 0 | 0 | ||||
| 4 | 0 | 1 | 3 | 5 | 2 | 0 |
| – | 0 | |||||
| 3 | 5 | |||||
| – | 0 | |||||
| 3 | 5 | 2 | ||||
| – | 0 | |||||
| 3 | 5 | 2 | 0 | |||
|
STEP 13: DIVIDE 3520 : 401 = 8 with a remainder of 312 |
||||||
| 0 | 0 | 0 | 8 | |||
| 4 | 0 | 1 | 3 | 5 | 2 | 0 |
| – | 0 | |||||
| 3 | 5 | |||||
| – | 0 | |||||
| 3 | 5 | 2 | ||||
| – | 0 | |||||
| 3 | 5 | 2 | 0 | |||
|
STEP 14: MULTIPLY 8 · 401 = 3208 |
||||||
| 0 | 0 | 0 | 8 | |||
| 4 | 0 | 1 | 3 | 5 | 2 | 0 |
| – | 0 | |||||
| 3 | 5 | |||||
| – | 0 | |||||
| 3 | 5 | 2 | ||||
| – | 0 | |||||
| 3 | 5 | 2 | 0 | |||
| 3 | 2 | 0 | 8 | |||
|
STEP 15: SUBTRACT 3520 - 3208 = 312 |
||||||
| 0 | 0 | 0 | 8 | |||
| 4 | 0 | 1 | 3 | 5 | 2 | 0 |
| – | 0 | |||||
| 3 | 5 | |||||
| – | 0 | |||||
| 3 | 5 | 2 | ||||
| – | 0 | |||||
| 3 | 5 | 2 | 0 | |||
| – | 3 | 2 | 0 | 8 | ||
| 3 | 1 | 2 | ||||
|
STEP 15: SUBTRACT 3520 - 3208 = 312 |
||||||
| 0 | 0 | 0 | 8 | |||
| 4 | 0 | 1 | 3 | 5 | 2 | 0 |
| – | 0 | |||||
| 3 | 5 | |||||
| – | 0 | |||||
| 3 | 5 | 2 | ||||
| – | 0 | |||||
| 3 | 5 | 2 | 0 | |||
| – | 3 | 2 | 0 | 8 | ||
| 3 | 1 | 2 | ||||
This page was created using
Long division calculator