◀ back to index
Question
What is the quotient and remainder when $ 7983 $ is divided by $ 35 $ ?
Answer
The quotient is 228 and the remainder is 3.
Explanation
|
Division Table
|
| | | 0 | 2 | 2 | 8 |
| 3 | 5 | 7 | 9 | 8 | 3 |
| | – | 0 | | | |
| | | 7 | 9 | | |
| | – | 7 | 0 | | |
| | | | 9 | 8 | |
| | | – | 7 | 0 | |
| | | | 2 | 8 | 3 |
| | | – | 2 | 8 | 0 |
| | | | | | 3 |
STEP 0: set up a division table
|
| | | | | | |
| 3 | 5 | 7 | 9 | 8 | 3 |
STEP 1: DIVIDE 7 : 35 = 0 with a remainder of 7
|
| | | 0 | | | |
| 3 | 5 | 7 | 9 | 8 | 3 |
STEP 2: MULTIPLY 0 · 35 = 0
|
| | | 0 | | | |
| 3 | 5 | 7 | 9 | 8 | 3 |
| | | 0 | | | |
STEP 3: SUBTRACT 7 - 0 = 7
|
| | | 0 | | | |
| 3 | 5 | 7 | 9 | 8 | 3 |
| | – | 0 | | | |
| | | 7 | | | |
|
STEP 4: BRING DOWN
|
| | | 0 | | | |
| 3 | 5 | 7 | 9 | 8 | 3 |
| | – | 0 | | | |
| | | 7 | 9 | | |
STEP 5: DIVIDE 79 : 35 = 2 with a remainder of 9
|
| | | 0 | 2 | | |
| 3 | 5 | 7 | 9 | 8 | 3 |
| | – | 0 | | | |
| | | 7 | 9 | | |
STEP 6: MULTIPLY 2 · 35 = 70
|
| | | 0 | 2 | | |
| 3 | 5 | 7 | 9 | 8 | 3 |
| | – | 0 | | | |
| | | 7 | 9 | | |
| | | 7 | 0 | | |
STEP 7: SUBTRACT 79 - 70 = 9
|
| | | 0 | 2 | | |
| 3 | 5 | 7 | 9 | 8 | 3 |
| | – | 0 | | | |
| | | 7 | 9 | | |
| | – | 7 | 0 | | |
| | | | 9 | | |
|
STEP 8: BRING DOWN
|
| | | 0 | 2 | | |
| 3 | 5 | 7 | 9 | 8 | 3 |
| | – | 0 | | | |
| | | 7 | 9 | | |
| | – | 7 | 0 | | |
| | | | 9 | 8 | |
STEP 9: DIVIDE 98 : 35 = 2 with a remainder of 28
|
| | | 0 | 2 | 2 | |
| 3 | 5 | 7 | 9 | 8 | 3 |
| | – | 0 | | | |
| | | 7 | 9 | | |
| | – | 7 | 0 | | |
| | | | 9 | 8 | |
STEP 10: MULTIPLY 2 · 35 = 70
|
| | | 0 | 2 | 2 | |
| 3 | 5 | 7 | 9 | 8 | 3 |
| | – | 0 | | | |
| | | 7 | 9 | | |
| | – | 7 | 0 | | |
| | | | 9 | 8 | |
| | | | 7 | 0 | |
STEP 11: SUBTRACT 98 - 70 = 28
|
| | | 0 | 2 | 2 | |
| 3 | 5 | 7 | 9 | 8 | 3 |
| | – | 0 | | | |
| | | 7 | 9 | | |
| | – | 7 | 0 | | |
| | | | 9 | 8 | |
| | | – | 7 | 0 | |
| | | | 2 | 8 | |
|
STEP 12: BRING DOWN
|
| | | 0 | 2 | 2 | |
| 3 | 5 | 7 | 9 | 8 | 3 |
| | – | 0 | | | |
| | | 7 | 9 | | |
| | – | 7 | 0 | | |
| | | | 9 | 8 | |
| | | – | 7 | 0 | |
| | | | 2 | 8 | 3 |
STEP 13: DIVIDE 283 : 35 = 8 with a remainder of 3
|
| | | 0 | 2 | 2 | 8 |
| 3 | 5 | 7 | 9 | 8 | 3 |
| | – | 0 | | | |
| | | 7 | 9 | | |
| | – | 7 | 0 | | |
| | | | 9 | 8 | |
| | | – | 7 | 0 | |
| | | | 2 | 8 | 3 |
STEP 14: MULTIPLY 8 · 35 = 280
|
| | | 0 | 2 | 2 | 8 |
| 3 | 5 | 7 | 9 | 8 | 3 |
| | – | 0 | | | |
| | | 7 | 9 | | |
| | – | 7 | 0 | | |
| | | | 9 | 8 | |
| | | – | 7 | 0 | |
| | | | 2 | 8 | 3 |
| | | | 2 | 8 | 0 |
STEP 15: SUBTRACT 283 - 280 = 3
|
| | | 0 | 2 | 2 | 8 |
| 3 | 5 | 7 | 9 | 8 | 3 |
| | – | 0 | | | |
| | | 7 | 9 | | |
| | – | 7 | 0 | | |
| | | | 9 | 8 | |
| | | – | 7 | 0 | |
| | | | 2 | 8 | 3 |
| | | – | 2 | 8 | 0 |
| | | | | | 3 |
STEP 15: SUBTRACT 283 - 280 = 3
|
| | | 0 | 2 | 2 | 8 |
| 3 | 5 | 7 | 9 | 8 | 3 |
| | – | 0 | | | |
| | | 7 | 9 | | |
| | – | 7 | 0 | | |
| | | | 9 | 8 | |
| | | – | 7 | 0 | |
| | | | 2 | 8 | 3 |
| | | – | 2 | 8 | 0 |
| | | | | | 3 |
This page was created using
Long division calculator