◀ back to index
Question
What is the quotient and remainder when $ 3125 $ is divided by $ 125 $ ?
Answer
The quotient is 25 and the remainder is 0.
Explanation
|
Division Table
|
| | | | 0 | 0 | 2 | 5 |
| 1 | 2 | 5 | 3 | 1 | 2 | 5 |
| | | – | 0 | | | |
| | | | 3 | 1 | | |
| | | | – | 0 | | |
| | | | 3 | 1 | 2 | |
| | | – | 2 | 5 | 0 | |
| | | | | 6 | 2 | 5 |
| | | | – | 6 | 2 | 5 |
| | | | | | | 0 |
STEP 0: set up a division table
|
| | | | | | | |
| 1 | 2 | 5 | 3 | 1 | 2 | 5 |
STEP 1: DIVIDE 3 : 125 = 0 with a remainder of 3
|
| | | | 0 | | | |
| 1 | 2 | 5 | 3 | 1 | 2 | 5 |
STEP 2: MULTIPLY 0 · 125 = 0
|
| | | | 0 | | | |
| 1 | 2 | 5 | 3 | 1 | 2 | 5 |
| | | | 0 | | | |
STEP 3: SUBTRACT 3 - 0 = 3
|
| | | | 0 | | | |
| 1 | 2 | 5 | 3 | 1 | 2 | 5 |
| | | – | 0 | | | |
| | | | 3 | | | |
|
STEP 4: BRING DOWN
|
| | | | 0 | | | |
| 1 | 2 | 5 | 3 | 1 | 2 | 5 |
| | | – | 0 | | | |
| | | | 3 | 1 | | |
STEP 5: DIVIDE 31 : 125 = 0 with a remainder of 31
|
| | | | 0 | 0 | | |
| 1 | 2 | 5 | 3 | 1 | 2 | 5 |
| | | – | 0 | | | |
| | | | 3 | 1 | | |
STEP 6: MULTIPLY 0 · 125 = 0
|
| | | | 0 | 0 | | |
| 1 | 2 | 5 | 3 | 1 | 2 | 5 |
| | | – | 0 | | | |
| | | | 3 | 1 | | |
| | | | | 0 | | |
STEP 7: SUBTRACT 31 - 0 = 31
|
| | | | 0 | 0 | | |
| 1 | 2 | 5 | 3 | 1 | 2 | 5 |
| | | – | 0 | | | |
| | | | 3 | 1 | | |
| | | | – | 0 | | |
| | | | 3 | 1 | | |
|
STEP 8: BRING DOWN
|
| | | | 0 | 0 | | |
| 1 | 2 | 5 | 3 | 1 | 2 | 5 |
| | | – | 0 | | | |
| | | | 3 | 1 | | |
| | | | – | 0 | | |
| | | | 3 | 1 | 2 | |
STEP 9: DIVIDE 312 : 125 = 2 with a remainder of 62
|
| | | | 0 | 0 | 2 | |
| 1 | 2 | 5 | 3 | 1 | 2 | 5 |
| | | – | 0 | | | |
| | | | 3 | 1 | | |
| | | | – | 0 | | |
| | | | 3 | 1 | 2 | |
STEP 10: MULTIPLY 2 · 125 = 250
|
| | | | 0 | 0 | 2 | |
| 1 | 2 | 5 | 3 | 1 | 2 | 5 |
| | | – | 0 | | | |
| | | | 3 | 1 | | |
| | | | – | 0 | | |
| | | | 3 | 1 | 2 | |
| | | | 2 | 5 | 0 | |
STEP 11: SUBTRACT 312 - 250 = 62
|
| | | | 0 | 0 | 2 | |
| 1 | 2 | 5 | 3 | 1 | 2 | 5 |
| | | – | 0 | | | |
| | | | 3 | 1 | | |
| | | | – | 0 | | |
| | | | 3 | 1 | 2 | |
| | | – | 2 | 5 | 0 | |
| | | | | 6 | 2 | |
|
STEP 12: BRING DOWN
|
| | | | 0 | 0 | 2 | |
| 1 | 2 | 5 | 3 | 1 | 2 | 5 |
| | | – | 0 | | | |
| | | | 3 | 1 | | |
| | | | – | 0 | | |
| | | | 3 | 1 | 2 | |
| | | – | 2 | 5 | 0 | |
| | | | | 6 | 2 | 5 |
STEP 13: DIVIDE 625 : 125 = 5 with a remainder of 0
|
| | | | 0 | 0 | 2 | 5 |
| 1 | 2 | 5 | 3 | 1 | 2 | 5 |
| | | – | 0 | | | |
| | | | 3 | 1 | | |
| | | | – | 0 | | |
| | | | 3 | 1 | 2 | |
| | | – | 2 | 5 | 0 | |
| | | | | 6 | 2 | 5 |
STEP 14: MULTIPLY 5 · 125 = 625
|
| | | | 0 | 0 | 2 | 5 |
| 1 | 2 | 5 | 3 | 1 | 2 | 5 |
| | | – | 0 | | | |
| | | | 3 | 1 | | |
| | | | – | 0 | | |
| | | | 3 | 1 | 2 | |
| | | – | 2 | 5 | 0 | |
| | | | | 6 | 2 | 5 |
| | | | | 6 | 2 | 5 |
STEP 15: SUBTRACT 625 - 625 = 0
|
| | | | 0 | 0 | 2 | 5 |
| 1 | 2 | 5 | 3 | 1 | 2 | 5 |
| | | – | 0 | | | |
| | | | 3 | 1 | | |
| | | | – | 0 | | |
| | | | 3 | 1 | 2 | |
| | | – | 2 | 5 | 0 | |
| | | | | 6 | 2 | 5 |
| | | | – | 6 | 2 | 5 |
| | | | | | | 0 |
STEP 15: SUBTRACT 625 - 625 = 0
|
| | | | 0 | 0 | 2 | 5 |
| 1 | 2 | 5 | 3 | 1 | 2 | 5 |
| | | – | 0 | | | |
| | | | 3 | 1 | | |
| | | | – | 0 | | |
| | | | 3 | 1 | 2 | |
| | | – | 2 | 5 | 0 | |
| | | | | 6 | 2 | 5 |
| | | | – | 6 | 2 | 5 |
| | | | | | | 0 |
This page was created using
Long division calculator