◀ back to index
Question
What is the quotient and remainder when $ 5609 $ is divided by $ 3 $ ?
Answer
The quotient is 1869 and the remainder is 2.
Explanation
|
Division Table
|
| | 1 | 8 | 6 | 9 |
| 3 | 5 | 6 | 0 | 9 |
| – | 3 | | | |
| | 2 | 6 | | |
| – | 2 | 4 | | |
| | | 2 | 0 | |
| | – | 1 | 8 | |
| | | | 2 | 9 |
| | | – | 2 | 7 |
| | | | | 2 |
STEP 0: set up a division table
|
| | | | | |
| 3 | 5 | 6 | 0 | 9 |
STEP 1: DIVIDE 5 : 3 = 1 with a remainder of 2
|
| | 1 | | | |
| 3 | 5 | 6 | 0 | 9 |
STEP 2: MULTIPLY 1 · 3 = 3
|
| | 1 | | | |
| 3 | 5 | 6 | 0 | 9 |
| | 3 | | | |
STEP 3: SUBTRACT 5 - 3 = 2
|
| | 1 | | | |
| 3 | 5 | 6 | 0 | 9 |
| – | 3 | | | |
| | 2 | | | |
|
STEP 4: BRING DOWN
|
| | 1 | | | |
| 3 | 5 | 6 | 0 | 9 |
| – | 3 | | | |
| | 2 | 6 | | |
STEP 5: DIVIDE 26 : 3 = 8 with a remainder of 2
|
| | 1 | 8 | | |
| 3 | 5 | 6 | 0 | 9 |
| – | 3 | | | |
| | 2 | 6 | | |
STEP 6: MULTIPLY 8 · 3 = 24
|
| | 1 | 8 | | |
| 3 | 5 | 6 | 0 | 9 |
| – | 3 | | | |
| | 2 | 6 | | |
| | 2 | 4 | | |
STEP 7: SUBTRACT 26 - 24 = 2
|
| | 1 | 8 | | |
| 3 | 5 | 6 | 0 | 9 |
| – | 3 | | | |
| | 2 | 6 | | |
| – | 2 | 4 | | |
| | | 2 | | |
|
STEP 8: BRING DOWN
|
| | 1 | 8 | | |
| 3 | 5 | 6 | 0 | 9 |
| – | 3 | | | |
| | 2 | 6 | | |
| – | 2 | 4 | | |
| | | 2 | 0 | |
STEP 9: DIVIDE 20 : 3 = 6 with a remainder of 2
|
| | 1 | 8 | 6 | |
| 3 | 5 | 6 | 0 | 9 |
| – | 3 | | | |
| | 2 | 6 | | |
| – | 2 | 4 | | |
| | | 2 | 0 | |
STEP 10: MULTIPLY 6 · 3 = 18
|
| | 1 | 8 | 6 | |
| 3 | 5 | 6 | 0 | 9 |
| – | 3 | | | |
| | 2 | 6 | | |
| – | 2 | 4 | | |
| | | 2 | 0 | |
| | | 1 | 8 | |
STEP 11: SUBTRACT 20 - 18 = 2
|
| | 1 | 8 | 6 | |
| 3 | 5 | 6 | 0 | 9 |
| – | 3 | | | |
| | 2 | 6 | | |
| – | 2 | 4 | | |
| | | 2 | 0 | |
| | – | 1 | 8 | |
| | | | 2 | |
|
STEP 12: BRING DOWN
|
| | 1 | 8 | 6 | |
| 3 | 5 | 6 | 0 | 9 |
| – | 3 | | | |
| | 2 | 6 | | |
| – | 2 | 4 | | |
| | | 2 | 0 | |
| | – | 1 | 8 | |
| | | | 2 | 9 |
STEP 13: DIVIDE 29 : 3 = 9 with a remainder of 2
|
| | 1 | 8 | 6 | 9 |
| 3 | 5 | 6 | 0 | 9 |
| – | 3 | | | |
| | 2 | 6 | | |
| – | 2 | 4 | | |
| | | 2 | 0 | |
| | – | 1 | 8 | |
| | | | 2 | 9 |
STEP 14: MULTIPLY 9 · 3 = 27
|
| | 1 | 8 | 6 | 9 |
| 3 | 5 | 6 | 0 | 9 |
| – | 3 | | | |
| | 2 | 6 | | |
| – | 2 | 4 | | |
| | | 2 | 0 | |
| | – | 1 | 8 | |
| | | | 2 | 9 |
| | | | 2 | 7 |
STEP 15: SUBTRACT 29 - 27 = 2
|
| | 1 | 8 | 6 | 9 |
| 3 | 5 | 6 | 0 | 9 |
| – | 3 | | | |
| | 2 | 6 | | |
| – | 2 | 4 | | |
| | | 2 | 0 | |
| | – | 1 | 8 | |
| | | | 2 | 9 |
| | | – | 2 | 7 |
| | | | | 2 |
STEP 15: SUBTRACT 29 - 27 = 2
|
| | 1 | 8 | 6 | 9 |
| 3 | 5 | 6 | 0 | 9 |
| – | 3 | | | |
| | 2 | 6 | | |
| – | 2 | 4 | | |
| | | 2 | 0 | |
| | – | 1 | 8 | |
| | | | 2 | 9 |
| | | – | 2 | 7 |
| | | | | 2 |
This page was created using
Long division calculator