Question
What is the quotient and remainder when $ 1573 $ is divided by $ 121 $ ?
Answer
The quotient is 13 and the remainder is 0.
Explanation
| Division Table | ||||||
| 0 | 0 | 1 | 3 | |||
| 1 | 2 | 1 | 1 | 5 | 7 | 3 |
| – | 0 | |||||
| 1 | 5 | |||||
| – | 0 | |||||
| 1 | 5 | 7 | ||||
| – | 1 | 2 | 1 | |||
| 3 | 6 | 3 | ||||
| – | 3 | 6 | 3 | |||
| 0 | ||||||
|
STEP 0: set up a division table |
||||||
| 1 | 2 | 1 | 1 | 5 | 7 | 3 |
|
STEP 1: DIVIDE 1 : 121 = 0 with a remainder of 1 |
||||||
| 0 | ||||||
| 1 | 2 | 1 | 1 | 5 | 7 | 3 |
|
STEP 2: MULTIPLY 0 · 121 = 0 |
||||||
| 0 | ||||||
| 1 | 2 | 1 | 1 | 5 | 7 | 3 |
| 0 | ||||||
|
STEP 3: SUBTRACT 1 - 0 = 1 |
||||||
| 0 | ||||||
| 1 | 2 | 1 | 1 | 5 | 7 | 3 |
| – | 0 | |||||
| 1 | ||||||
| STEP 4: BRING DOWN | ||||||
| 0 | ||||||
| 1 | 2 | 1 | 1 | 5 | 7 | 3 |
| – | 0 | |||||
| 1 | 5 | |||||
|
STEP 5: DIVIDE 15 : 121 = 0 with a remainder of 15 |
||||||
| 0 | 0 | |||||
| 1 | 2 | 1 | 1 | 5 | 7 | 3 |
| – | 0 | |||||
| 1 | 5 | |||||
|
STEP 6: MULTIPLY 0 · 121 = 0 |
||||||
| 0 | 0 | |||||
| 1 | 2 | 1 | 1 | 5 | 7 | 3 |
| – | 0 | |||||
| 1 | 5 | |||||
| 0 | ||||||
|
STEP 7: SUBTRACT 15 - 0 = 15 |
||||||
| 0 | 0 | |||||
| 1 | 2 | 1 | 1 | 5 | 7 | 3 |
| – | 0 | |||||
| 1 | 5 | |||||
| – | 0 | |||||
| 1 | 5 | |||||
| STEP 8: BRING DOWN | ||||||
| 0 | 0 | |||||
| 1 | 2 | 1 | 1 | 5 | 7 | 3 |
| – | 0 | |||||
| 1 | 5 | |||||
| – | 0 | |||||
| 1 | 5 | 7 | ||||
|
STEP 9: DIVIDE 157 : 121 = 1 with a remainder of 36 |
||||||
| 0 | 0 | 1 | ||||
| 1 | 2 | 1 | 1 | 5 | 7 | 3 |
| – | 0 | |||||
| 1 | 5 | |||||
| – | 0 | |||||
| 1 | 5 | 7 | ||||
|
STEP 10: MULTIPLY 1 · 121 = 121 |
||||||
| 0 | 0 | 1 | ||||
| 1 | 2 | 1 | 1 | 5 | 7 | 3 |
| – | 0 | |||||
| 1 | 5 | |||||
| – | 0 | |||||
| 1 | 5 | 7 | ||||
| 1 | 2 | 1 | ||||
|
STEP 11: SUBTRACT 157 - 121 = 36 |
||||||
| 0 | 0 | 1 | ||||
| 1 | 2 | 1 | 1 | 5 | 7 | 3 |
| – | 0 | |||||
| 1 | 5 | |||||
| – | 0 | |||||
| 1 | 5 | 7 | ||||
| – | 1 | 2 | 1 | |||
| 3 | 6 | |||||
| STEP 12: BRING DOWN | ||||||
| 0 | 0 | 1 | ||||
| 1 | 2 | 1 | 1 | 5 | 7 | 3 |
| – | 0 | |||||
| 1 | 5 | |||||
| – | 0 | |||||
| 1 | 5 | 7 | ||||
| – | 1 | 2 | 1 | |||
| 3 | 6 | 3 | ||||
|
STEP 13: DIVIDE 363 : 121 = 3 with a remainder of 0 |
||||||
| 0 | 0 | 1 | 3 | |||
| 1 | 2 | 1 | 1 | 5 | 7 | 3 |
| – | 0 | |||||
| 1 | 5 | |||||
| – | 0 | |||||
| 1 | 5 | 7 | ||||
| – | 1 | 2 | 1 | |||
| 3 | 6 | 3 | ||||
|
STEP 14: MULTIPLY 3 · 121 = 363 |
||||||
| 0 | 0 | 1 | 3 | |||
| 1 | 2 | 1 | 1 | 5 | 7 | 3 |
| – | 0 | |||||
| 1 | 5 | |||||
| – | 0 | |||||
| 1 | 5 | 7 | ||||
| – | 1 | 2 | 1 | |||
| 3 | 6 | 3 | ||||
| 3 | 6 | 3 | ||||
|
STEP 15: SUBTRACT 363 - 363 = 0 |
||||||
| 0 | 0 | 1 | 3 | |||
| 1 | 2 | 1 | 1 | 5 | 7 | 3 |
| – | 0 | |||||
| 1 | 5 | |||||
| – | 0 | |||||
| 1 | 5 | 7 | ||||
| – | 1 | 2 | 1 | |||
| 3 | 6 | 3 | ||||
| – | 3 | 6 | 3 | |||
| 0 | ||||||
|
STEP 15: SUBTRACT 363 - 363 = 0 |
||||||
| 0 | 0 | 1 | 3 | |||
| 1 | 2 | 1 | 1 | 5 | 7 | 3 |
| – | 0 | |||||
| 1 | 5 | |||||
| – | 0 | |||||
| 1 | 5 | 7 | ||||
| – | 1 | 2 | 1 | |||
| 3 | 6 | 3 | ||||
| – | 3 | 6 | 3 | |||
| 0 | ||||||
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