Question
What is the quotient and remainder when $ 1390 $ is divided by $ 20 $ ?
Answer
The quotient is 69 and the remainder is 10.
Explanation
| Division Table | |||||
| 0 | 0 | 6 | 9 | ||
| 2 | 0 | 1 | 3 | 9 | 0 |
| – | 0 | ||||
| 1 | 3 | ||||
| – | 0 | ||||
| 1 | 3 | 9 | |||
| – | 1 | 2 | 0 | ||
| 1 | 9 | 0 | |||
| – | 1 | 8 | 0 | ||
| 1 | 0 | ||||
|
STEP 0: set up a division table |
|||||
| 2 | 0 | 1 | 3 | 9 | 0 |
|
STEP 1: DIVIDE 1 : 20 = 0 with a remainder of 1 |
|||||
| 0 | |||||
| 2 | 0 | 1 | 3 | 9 | 0 |
|
STEP 2: MULTIPLY 0 · 20 = 0 |
|||||
| 0 | |||||
| 2 | 0 | 1 | 3 | 9 | 0 |
| 0 | |||||
|
STEP 3: SUBTRACT 1 - 0 = 1 |
|||||
| 0 | |||||
| 2 | 0 | 1 | 3 | 9 | 0 |
| – | 0 | ||||
| 1 | |||||
| STEP 4: BRING DOWN | |||||
| 0 | |||||
| 2 | 0 | 1 | 3 | 9 | 0 |
| – | 0 | ||||
| 1 | 3 | ||||
|
STEP 5: DIVIDE 13 : 20 = 0 with a remainder of 13 |
|||||
| 0 | 0 | ||||
| 2 | 0 | 1 | 3 | 9 | 0 |
| – | 0 | ||||
| 1 | 3 | ||||
|
STEP 6: MULTIPLY 0 · 20 = 0 |
|||||
| 0 | 0 | ||||
| 2 | 0 | 1 | 3 | 9 | 0 |
| – | 0 | ||||
| 1 | 3 | ||||
| 0 | |||||
|
STEP 7: SUBTRACT 13 - 0 = 13 |
|||||
| 0 | 0 | ||||
| 2 | 0 | 1 | 3 | 9 | 0 |
| – | 0 | ||||
| 1 | 3 | ||||
| – | 0 | ||||
| 1 | 3 | ||||
| STEP 8: BRING DOWN | |||||
| 0 | 0 | ||||
| 2 | 0 | 1 | 3 | 9 | 0 |
| – | 0 | ||||
| 1 | 3 | ||||
| – | 0 | ||||
| 1 | 3 | 9 | |||
|
STEP 9: DIVIDE 139 : 20 = 6 with a remainder of 19 |
|||||
| 0 | 0 | 6 | |||
| 2 | 0 | 1 | 3 | 9 | 0 |
| – | 0 | ||||
| 1 | 3 | ||||
| – | 0 | ||||
| 1 | 3 | 9 | |||
|
STEP 10: MULTIPLY 6 · 20 = 120 |
|||||
| 0 | 0 | 6 | |||
| 2 | 0 | 1 | 3 | 9 | 0 |
| – | 0 | ||||
| 1 | 3 | ||||
| – | 0 | ||||
| 1 | 3 | 9 | |||
| 1 | 2 | 0 | |||
|
STEP 11: SUBTRACT 139 - 120 = 19 |
|||||
| 0 | 0 | 6 | |||
| 2 | 0 | 1 | 3 | 9 | 0 |
| – | 0 | ||||
| 1 | 3 | ||||
| – | 0 | ||||
| 1 | 3 | 9 | |||
| – | 1 | 2 | 0 | ||
| 1 | 9 | ||||
| STEP 12: BRING DOWN | |||||
| 0 | 0 | 6 | |||
| 2 | 0 | 1 | 3 | 9 | 0 |
| – | 0 | ||||
| 1 | 3 | ||||
| – | 0 | ||||
| 1 | 3 | 9 | |||
| – | 1 | 2 | 0 | ||
| 1 | 9 | 0 | |||
|
STEP 13: DIVIDE 190 : 20 = 9 with a remainder of 10 |
|||||
| 0 | 0 | 6 | 9 | ||
| 2 | 0 | 1 | 3 | 9 | 0 |
| – | 0 | ||||
| 1 | 3 | ||||
| – | 0 | ||||
| 1 | 3 | 9 | |||
| – | 1 | 2 | 0 | ||
| 1 | 9 | 0 | |||
|
STEP 14: MULTIPLY 9 · 20 = 180 |
|||||
| 0 | 0 | 6 | 9 | ||
| 2 | 0 | 1 | 3 | 9 | 0 |
| – | 0 | ||||
| 1 | 3 | ||||
| – | 0 | ||||
| 1 | 3 | 9 | |||
| – | 1 | 2 | 0 | ||
| 1 | 9 | 0 | |||
| 1 | 8 | 0 | |||
|
STEP 15: SUBTRACT 190 - 180 = 10 |
|||||
| 0 | 0 | 6 | 9 | ||
| 2 | 0 | 1 | 3 | 9 | 0 |
| – | 0 | ||||
| 1 | 3 | ||||
| – | 0 | ||||
| 1 | 3 | 9 | |||
| – | 1 | 2 | 0 | ||
| 1 | 9 | 0 | |||
| – | 1 | 8 | 0 | ||
| 1 | 0 | ||||
|
STEP 15: SUBTRACT 190 - 180 = 10 |
|||||
| 0 | 0 | 6 | 9 | ||
| 2 | 0 | 1 | 3 | 9 | 0 |
| – | 0 | ||||
| 1 | 3 | ||||
| – | 0 | ||||
| 1 | 3 | 9 | |||
| – | 1 | 2 | 0 | ||
| 1 | 9 | 0 | |||
| – | 1 | 8 | 0 | ||
| 1 | 0 | ||||
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