Question
What is the quotient and remainder when $ 80364 $ is divided by $ 22 $ ?
Answer
The quotient is 3652 and the remainder is 20.
Explanation
| Division Table | ||||||
| 0 | 3 | 6 | 5 | 2 | ||
| 2 | 2 | 8 | 0 | 3 | 6 | 4 |
| – | 0 | |||||
| 8 | 0 | |||||
| – | 6 | 6 | ||||
| 1 | 4 | 3 | ||||
| – | 1 | 3 | 2 | |||
| 1 | 1 | 6 | ||||
| – | 1 | 1 | 0 | |||
| 6 | 4 | |||||
| – | 4 | 4 | ||||
| 2 | 0 | |||||
|
STEP 0: set up a division table |
||||||
| 2 | 2 | 8 | 0 | 3 | 6 | 4 |
|
STEP 1: DIVIDE 8 : 22 = 0 with a remainder of 8 |
||||||
| 0 | ||||||
| 2 | 2 | 8 | 0 | 3 | 6 | 4 |
|
STEP 2: MULTIPLY 0 · 22 = 0 |
||||||
| 0 | ||||||
| 2 | 2 | 8 | 0 | 3 | 6 | 4 |
| 0 | ||||||
|
STEP 3: SUBTRACT 8 - 0 = 8 |
||||||
| 0 | ||||||
| 2 | 2 | 8 | 0 | 3 | 6 | 4 |
| – | 0 | |||||
| 8 | ||||||
| STEP 4: BRING DOWN | ||||||
| 0 | ||||||
| 2 | 2 | 8 | 0 | 3 | 6 | 4 |
| – | 0 | |||||
| 8 | 0 | |||||
|
STEP 5: DIVIDE 80 : 22 = 3 with a remainder of 14 |
||||||
| 0 | 3 | |||||
| 2 | 2 | 8 | 0 | 3 | 6 | 4 |
| – | 0 | |||||
| 8 | 0 | |||||
|
STEP 6: MULTIPLY 3 · 22 = 66 |
||||||
| 0 | 3 | |||||
| 2 | 2 | 8 | 0 | 3 | 6 | 4 |
| – | 0 | |||||
| 8 | 0 | |||||
| 6 | 6 | |||||
|
STEP 7: SUBTRACT 80 - 66 = 14 |
||||||
| 0 | 3 | |||||
| 2 | 2 | 8 | 0 | 3 | 6 | 4 |
| – | 0 | |||||
| 8 | 0 | |||||
| – | 6 | 6 | ||||
| 1 | 4 | |||||
| STEP 8: BRING DOWN | ||||||
| 0 | 3 | |||||
| 2 | 2 | 8 | 0 | 3 | 6 | 4 |
| – | 0 | |||||
| 8 | 0 | |||||
| – | 6 | 6 | ||||
| 1 | 4 | 3 | ||||
|
STEP 9: DIVIDE 143 : 22 = 6 with a remainder of 11 |
||||||
| 0 | 3 | 6 | ||||
| 2 | 2 | 8 | 0 | 3 | 6 | 4 |
| – | 0 | |||||
| 8 | 0 | |||||
| – | 6 | 6 | ||||
| 1 | 4 | 3 | ||||
|
STEP 10: MULTIPLY 6 · 22 = 132 |
||||||
| 0 | 3 | 6 | ||||
| 2 | 2 | 8 | 0 | 3 | 6 | 4 |
| – | 0 | |||||
| 8 | 0 | |||||
| – | 6 | 6 | ||||
| 1 | 4 | 3 | ||||
| 1 | 3 | 2 | ||||
|
STEP 11: SUBTRACT 143 - 132 = 11 |
||||||
| 0 | 3 | 6 | ||||
| 2 | 2 | 8 | 0 | 3 | 6 | 4 |
| – | 0 | |||||
| 8 | 0 | |||||
| – | 6 | 6 | ||||
| 1 | 4 | 3 | ||||
| – | 1 | 3 | 2 | |||
| 1 | 1 | |||||
| STEP 12: BRING DOWN | ||||||
| 0 | 3 | 6 | ||||
| 2 | 2 | 8 | 0 | 3 | 6 | 4 |
| – | 0 | |||||
| 8 | 0 | |||||
| – | 6 | 6 | ||||
| 1 | 4 | 3 | ||||
| – | 1 | 3 | 2 | |||
| 1 | 1 | 6 | ||||
|
STEP 13: DIVIDE 116 : 22 = 5 with a remainder of 6 |
||||||
| 0 | 3 | 6 | 5 | |||
| 2 | 2 | 8 | 0 | 3 | 6 | 4 |
| – | 0 | |||||
| 8 | 0 | |||||
| – | 6 | 6 | ||||
| 1 | 4 | 3 | ||||
| – | 1 | 3 | 2 | |||
| 1 | 1 | 6 | ||||
|
STEP 14: MULTIPLY 5 · 22 = 110 |
||||||
| 0 | 3 | 6 | 5 | |||
| 2 | 2 | 8 | 0 | 3 | 6 | 4 |
| – | 0 | |||||
| 8 | 0 | |||||
| – | 6 | 6 | ||||
| 1 | 4 | 3 | ||||
| – | 1 | 3 | 2 | |||
| 1 | 1 | 6 | ||||
| 1 | 1 | 0 | ||||
|
STEP 15: SUBTRACT 116 - 110 = 6 |
||||||
| 0 | 3 | 6 | 5 | |||
| 2 | 2 | 8 | 0 | 3 | 6 | 4 |
| – | 0 | |||||
| 8 | 0 | |||||
| – | 6 | 6 | ||||
| 1 | 4 | 3 | ||||
| – | 1 | 3 | 2 | |||
| 1 | 1 | 6 | ||||
| – | 1 | 1 | 0 | |||
| 6 | ||||||
| STEP 16: BRING DOWN | ||||||
| 0 | 3 | 6 | 5 | |||
| 2 | 2 | 8 | 0 | 3 | 6 | 4 |
| – | 0 | |||||
| 8 | 0 | |||||
| – | 6 | 6 | ||||
| 1 | 4 | 3 | ||||
| – | 1 | 3 | 2 | |||
| 1 | 1 | 6 | ||||
| – | 1 | 1 | 0 | |||
| 6 | 4 | |||||
|
STEP 17: DIVIDE 64 : 22 = 2 with a remainder of 20 |
||||||
| 0 | 3 | 6 | 5 | 2 | ||
| 2 | 2 | 8 | 0 | 3 | 6 | 4 |
| – | 0 | |||||
| 8 | 0 | |||||
| – | 6 | 6 | ||||
| 1 | 4 | 3 | ||||
| – | 1 | 3 | 2 | |||
| 1 | 1 | 6 | ||||
| – | 1 | 1 | 0 | |||
| 6 | 4 | |||||
|
STEP 18: MULTIPLY 2 · 22 = 44 |
||||||
| 0 | 3 | 6 | 5 | 2 | ||
| 2 | 2 | 8 | 0 | 3 | 6 | 4 |
| – | 0 | |||||
| 8 | 0 | |||||
| – | 6 | 6 | ||||
| 1 | 4 | 3 | ||||
| – | 1 | 3 | 2 | |||
| 1 | 1 | 6 | ||||
| – | 1 | 1 | 0 | |||
| 6 | 4 | |||||
| 4 | 4 | |||||
|
STEP 19: SUBTRACT 64 - 44 = 20 |
||||||
| 0 | 3 | 6 | 5 | 2 | ||
| 2 | 2 | 8 | 0 | 3 | 6 | 4 |
| – | 0 | |||||
| 8 | 0 | |||||
| – | 6 | 6 | ||||
| 1 | 4 | 3 | ||||
| – | 1 | 3 | 2 | |||
| 1 | 1 | 6 | ||||
| – | 1 | 1 | 0 | |||
| 6 | 4 | |||||
| – | 4 | 4 | ||||
| 2 | 0 | |||||
|
STEP 19: SUBTRACT 64 - 44 = 20 |
||||||
| 0 | 3 | 6 | 5 | 2 | ||
| 2 | 2 | 8 | 0 | 3 | 6 | 4 |
| – | 0 | |||||
| 8 | 0 | |||||
| – | 6 | 6 | ||||
| 1 | 4 | 3 | ||||
| – | 1 | 3 | 2 | |||
| 1 | 1 | 6 | ||||
| – | 1 | 1 | 0 | |||
| 6 | 4 | |||||
| – | 4 | 4 | ||||
| 2 | 0 | |||||
This page was created using
Long division calculator