back to index
What is the quotient and remainder when $ 6500 $ is divided by $ 14 $ ?
Answer
The quotient is 464 and the remainder is 4.
Explanation
Division Table
|
| | 0 | 4 | 6 | 4 |
1 | 4 | 6 | 5 | 0 | 0 |
| – | 0 | | | |
| | 6 | 5 | | |
| – | 5 | 6 | | |
| | | 9 | 0 | |
| | – | 8 | 4 | |
| | | | 6 | 0 |
| | | – | 5 | 6 |
| | | | | 4 |
STEP 0: set up a division table
|
| | | | | |
1 | 4 | 6 | 5 | 0 | 0 |
STEP 1: DIVIDE 6 : 14 = 0 with a remainder of 6
|
| | 0 | | | |
1 | 4 | 6 | 5 | 0 | 0 |
STEP 2: MULTIPLY 0 · 14 = 0
|
| | 0 | | | |
1 | 4 | 6 | 5 | 0 | 0 |
| | 0 | | | |
STEP 3: SUBTRACT 6 - 0 = 6
|
| | 0 | | | |
1 | 4 | 6 | 5 | 0 | 0 |
| – | 0 | | | |
| | 6 | | | |
STEP 4: BRING DOWN
|
| | 0 | | | |
1 | 4 | 6 | 5 | 0 | 0 |
| – | 0 | | | |
| | 6 | 5 | | |
STEP 5: DIVIDE 65 : 14 = 4 with a remainder of 9
|
| | 0 | 4 | | |
1 | 4 | 6 | 5 | 0 | 0 |
| – | 0 | | | |
| | 6 | 5 | | |
STEP 6: MULTIPLY 4 · 14 = 56
|
| | 0 | 4 | | |
1 | 4 | 6 | 5 | 0 | 0 |
| – | 0 | | | |
| | 6 | 5 | | |
| | 5 | 6 | | |
STEP 7: SUBTRACT 65 - 56 = 9
|
| | 0 | 4 | | |
1 | 4 | 6 | 5 | 0 | 0 |
| – | 0 | | | |
| | 6 | 5 | | |
| – | 5 | 6 | | |
| | | 9 | | |
STEP 8: BRING DOWN
|
| | 0 | 4 | | |
1 | 4 | 6 | 5 | 0 | 0 |
| – | 0 | | | |
| | 6 | 5 | | |
| – | 5 | 6 | | |
| | | 9 | 0 | |
STEP 9: DIVIDE 90 : 14 = 6 with a remainder of 6
|
| | 0 | 4 | 6 | |
1 | 4 | 6 | 5 | 0 | 0 |
| – | 0 | | | |
| | 6 | 5 | | |
| – | 5 | 6 | | |
| | | 9 | 0 | |
STEP 10: MULTIPLY 6 · 14 = 84
|
| | 0 | 4 | 6 | |
1 | 4 | 6 | 5 | 0 | 0 |
| – | 0 | | | |
| | 6 | 5 | | |
| – | 5 | 6 | | |
| | | 9 | 0 | |
| | | 8 | 4 | |
STEP 11: SUBTRACT 90 - 84 = 6
|
| | 0 | 4 | 6 | |
1 | 4 | 6 | 5 | 0 | 0 |
| – | 0 | | | |
| | 6 | 5 | | |
| – | 5 | 6 | | |
| | | 9 | 0 | |
| | – | 8 | 4 | |
| | | | 6 | |
STEP 12: BRING DOWN
|
| | 0 | 4 | 6 | |
1 | 4 | 6 | 5 | 0 | 0 |
| – | 0 | | | |
| | 6 | 5 | | |
| – | 5 | 6 | | |
| | | 9 | 0 | |
| | – | 8 | 4 | |
| | | | 6 | 0 |
STEP 13: DIVIDE 60 : 14 = 4 with a remainder of 4
|
| | 0 | 4 | 6 | 4 |
1 | 4 | 6 | 5 | 0 | 0 |
| – | 0 | | | |
| | 6 | 5 | | |
| – | 5 | 6 | | |
| | | 9 | 0 | |
| | – | 8 | 4 | |
| | | | 6 | 0 |
STEP 14: MULTIPLY 4 · 14 = 56
|
| | 0 | 4 | 6 | 4 |
1 | 4 | 6 | 5 | 0 | 0 |
| – | 0 | | | |
| | 6 | 5 | | |
| – | 5 | 6 | | |
| | | 9 | 0 | |
| | – | 8 | 4 | |
| | | | 6 | 0 |
| | | | 5 | 6 |
STEP 15: SUBTRACT 60 - 56 = 4
|
| | 0 | 4 | 6 | 4 |
1 | 4 | 6 | 5 | 0 | 0 |
| – | 0 | | | |
| | 6 | 5 | | |
| – | 5 | 6 | | |
| | | 9 | 0 | |
| | – | 8 | 4 | |
| | | | 6 | 0 |
| | | – | 5 | 6 |
| | | | | 4 |
STEP 15: SUBTRACT 60 - 56 = 4
|
| | 0 | 4 | 6 | 4 |
1 | 4 | 6 | 5 | 0 | 0 |
| – | 0 | | | |
| | 6 | 5 | | |
| – | 5 | 6 | | |
| | | 9 | 0 | |
| | – | 8 | 4 | |
| | | | 6 | 0 |
| | | – | 5 | 6 |
| | | | | 4 |
This page was created using
Long division calculator