back to index
What is the quotient and remainder when $ 694 $ is divided by $ 4 $ ?
Answer
The quotient is 173 and the remainder is 2.
Explanation
Division Table
|
| 1 | 7 | 3 |
4 | 6 | 9 | 4 |
– | 4 | | |
| 2 | 9 | |
– | 2 | 8 | |
| | 1 | 4 |
| – | 1 | 2 |
| | | 2 |
STEP 0: set up a division table
|
| | | |
4 | 6 | 9 | 4 |
STEP 1: DIVIDE 6 : 4 = 1 with a remainder of 2
|
| 1 | | |
4 | 6 | 9 | 4 |
STEP 2: MULTIPLY 1 · 4 = 4
|
| 1 | | |
4 | 6 | 9 | 4 |
| 4 | | |
STEP 3: SUBTRACT 6 - 4 = 2
|
| 1 | | |
4 | 6 | 9 | 4 |
– | 4 | | |
| 2 | | |
STEP 4: BRING DOWN
|
| 1 | | |
4 | 6 | 9 | 4 |
– | 4 | | |
| 2 | 9 | |
STEP 5: DIVIDE 29 : 4 = 7 with a remainder of 1
|
| 1 | 7 | |
4 | 6 | 9 | 4 |
– | 4 | | |
| 2 | 9 | |
STEP 6: MULTIPLY 7 · 4 = 28
|
| 1 | 7 | |
4 | 6 | 9 | 4 |
– | 4 | | |
| 2 | 9 | |
| 2 | 8 | |
STEP 7: SUBTRACT 29 - 28 = 1
|
| 1 | 7 | |
4 | 6 | 9 | 4 |
– | 4 | | |
| 2 | 9 | |
– | 2 | 8 | |
| | 1 | |
STEP 8: BRING DOWN
|
| 1 | 7 | |
4 | 6 | 9 | 4 |
– | 4 | | |
| 2 | 9 | |
– | 2 | 8 | |
| | 1 | 4 |
STEP 9: DIVIDE 14 : 4 = 3 with a remainder of 2
|
| 1 | 7 | 3 |
4 | 6 | 9 | 4 |
– | 4 | | |
| 2 | 9 | |
– | 2 | 8 | |
| | 1 | 4 |
STEP 10: MULTIPLY 3 · 4 = 12
|
| 1 | 7 | 3 |
4 | 6 | 9 | 4 |
– | 4 | | |
| 2 | 9 | |
– | 2 | 8 | |
| | 1 | 4 |
| | 1 | 2 |
STEP 11: SUBTRACT 14 - 12 = 2
|
| 1 | 7 | 3 |
4 | 6 | 9 | 4 |
– | 4 | | |
| 2 | 9 | |
– | 2 | 8 | |
| | 1 | 4 |
| – | 1 | 2 |
| | | 2 |
STEP 11: SUBTRACT 14 - 12 = 2
|
| 1 | 7 | 3 |
4 | 6 | 9 | 4 |
– | 4 | | |
| 2 | 9 | |
– | 2 | 8 | |
| | 1 | 4 |
| – | 1 | 2 |
| | | 2 |
This page was created using
Long division calculator