Question
What is the quotient and remainder when $ 4050 $ is divided by $ 38 $ ?
Answer
The quotient is 106 and the remainder is 22.
Explanation
| Division Table | |||||
| 0 | 1 | 0 | 6 | ||
| 3 | 8 | 4 | 0 | 5 | 0 |
| – | 0 | ||||
| 4 | 0 | ||||
| – | 3 | 8 | |||
| 2 | 5 | ||||
| – | 0 | ||||
| 2 | 5 | 0 | |||
| – | 2 | 2 | 8 | ||
| 2 | 2 | ||||
|
STEP 0: set up a division table |
|||||
| 3 | 8 | 4 | 0 | 5 | 0 |
|
STEP 1: DIVIDE 4 : 38 = 0 with a remainder of 4 |
|||||
| 0 | |||||
| 3 | 8 | 4 | 0 | 5 | 0 |
|
STEP 2: MULTIPLY 0 · 38 = 0 |
|||||
| 0 | |||||
| 3 | 8 | 4 | 0 | 5 | 0 |
| 0 | |||||
|
STEP 3: SUBTRACT 4 - 0 = 4 |
|||||
| 0 | |||||
| 3 | 8 | 4 | 0 | 5 | 0 |
| – | 0 | ||||
| 4 | |||||
| STEP 4: BRING DOWN | |||||
| 0 | |||||
| 3 | 8 | 4 | 0 | 5 | 0 |
| – | 0 | ||||
| 4 | 0 | ||||
|
STEP 5: DIVIDE 40 : 38 = 1 with a remainder of 2 |
|||||
| 0 | 1 | ||||
| 3 | 8 | 4 | 0 | 5 | 0 |
| – | 0 | ||||
| 4 | 0 | ||||
|
STEP 6: MULTIPLY 1 · 38 = 38 |
|||||
| 0 | 1 | ||||
| 3 | 8 | 4 | 0 | 5 | 0 |
| – | 0 | ||||
| 4 | 0 | ||||
| 3 | 8 | ||||
|
STEP 7: SUBTRACT 40 - 38 = 2 |
|||||
| 0 | 1 | ||||
| 3 | 8 | 4 | 0 | 5 | 0 |
| – | 0 | ||||
| 4 | 0 | ||||
| – | 3 | 8 | |||
| 2 | |||||
| STEP 8: BRING DOWN | |||||
| 0 | 1 | ||||
| 3 | 8 | 4 | 0 | 5 | 0 |
| – | 0 | ||||
| 4 | 0 | ||||
| – | 3 | 8 | |||
| 2 | 5 | ||||
|
STEP 9: DIVIDE 25 : 38 = 0 with a remainder of 25 |
|||||
| 0 | 1 | 0 | |||
| 3 | 8 | 4 | 0 | 5 | 0 |
| – | 0 | ||||
| 4 | 0 | ||||
| – | 3 | 8 | |||
| 2 | 5 | ||||
|
STEP 10: MULTIPLY 0 · 38 = 0 |
|||||
| 0 | 1 | 0 | |||
| 3 | 8 | 4 | 0 | 5 | 0 |
| – | 0 | ||||
| 4 | 0 | ||||
| – | 3 | 8 | |||
| 2 | 5 | ||||
| 0 | |||||
|
STEP 11: SUBTRACT 25 - 0 = 25 |
|||||
| 0 | 1 | 0 | |||
| 3 | 8 | 4 | 0 | 5 | 0 |
| – | 0 | ||||
| 4 | 0 | ||||
| – | 3 | 8 | |||
| 2 | 5 | ||||
| – | 0 | ||||
| 2 | 5 | ||||
| STEP 12: BRING DOWN | |||||
| 0 | 1 | 0 | |||
| 3 | 8 | 4 | 0 | 5 | 0 |
| – | 0 | ||||
| 4 | 0 | ||||
| – | 3 | 8 | |||
| 2 | 5 | ||||
| – | 0 | ||||
| 2 | 5 | 0 | |||
|
STEP 13: DIVIDE 250 : 38 = 6 with a remainder of 22 |
|||||
| 0 | 1 | 0 | 6 | ||
| 3 | 8 | 4 | 0 | 5 | 0 |
| – | 0 | ||||
| 4 | 0 | ||||
| – | 3 | 8 | |||
| 2 | 5 | ||||
| – | 0 | ||||
| 2 | 5 | 0 | |||
|
STEP 14: MULTIPLY 6 · 38 = 228 |
|||||
| 0 | 1 | 0 | 6 | ||
| 3 | 8 | 4 | 0 | 5 | 0 |
| – | 0 | ||||
| 4 | 0 | ||||
| – | 3 | 8 | |||
| 2 | 5 | ||||
| – | 0 | ||||
| 2 | 5 | 0 | |||
| 2 | 2 | 8 | |||
|
STEP 15: SUBTRACT 250 - 228 = 22 |
|||||
| 0 | 1 | 0 | 6 | ||
| 3 | 8 | 4 | 0 | 5 | 0 |
| – | 0 | ||||
| 4 | 0 | ||||
| – | 3 | 8 | |||
| 2 | 5 | ||||
| – | 0 | ||||
| 2 | 5 | 0 | |||
| – | 2 | 2 | 8 | ||
| 2 | 2 | ||||
|
STEP 15: SUBTRACT 250 - 228 = 22 |
|||||
| 0 | 1 | 0 | 6 | ||
| 3 | 8 | 4 | 0 | 5 | 0 |
| – | 0 | ||||
| 4 | 0 | ||||
| – | 3 | 8 | |||
| 2 | 5 | ||||
| – | 0 | ||||
| 2 | 5 | 0 | |||
| – | 2 | 2 | 8 | ||
| 2 | 2 | ||||
This page was created using
Long division calculator