Let's divide 681565 by 61
We want to divide 681565 by 61.

Going ahead to step 1:
61 goes into 6 0 times with a remainder of 6.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 6 to get 6.
Fetch the next digit (8) from the dividend, attach it to 6 and continue: 68 / 61

Going ahead to step 2:
The number 61 fits into 68 1 times, leaving a remainder of 7.
Write down 1 as next digit of the result. 
Result so far: 1.0
Subtracting 61 from 68 leaves us with 7.
Append the next digit (1) from the dividend to 7 and continue with: 71 / 61

Let's proceed to step 3:
61 goes into 71 1 times with a remainder of 10.
Write down 1 as next digit of the result. 
Result so far: 11.0
The remainder is 10 after subtracting 61 from 71.
Take the next digit (5) from the dividend and append it to 10, then repeat: 105 / 61

Advancing to step 4:
If we divide 105 by 61, we get 1 and a remainder of 44.
Use 1 as the next digit of our solution. 
Result so far: 111.0
If we subtract 61 from 105, we get 44.
Fetch the next digit (6) from the dividend, attach it to 44 and continue: 446 / 61

Step 5:
61 goes into 446 7 times with a remainder of 19.
Write down 7 as next digit of the result. 
Result so far: 1117.0
The remainder is 19 after subtracting 427 from 446.
Bring next digit (5) of the dividend behind the 19 and repeat the process: 195 / 61

On to step 6:
195 divided by 61 is 3 with a remainder of 12.
Use 3 as the next digit of our solution. 
Result so far: 11173.0
Subtract 183 from 195 to get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Step 7:
If we divide 120 by 61, we get 1 and a remainder of 59.
The number 1 becomes the next digit in our result. 
Result so far: 11173.1
If we subtract 61 from 120, we get 59.
Since there are no more digits in the dividend, we add a zero to the remainder making it 590, and continue the process.

Advancing to step 8:
590 divided by 61 is 9 with a remainder of 41.
Use 9 as the next digit of our solution. 
Result so far: 11173.19
If we subtract 549 from 590, we get 41.
Since there are no more digits in the dividend, we add a zero to the remainder making it 410, and continue the process.

On to step 9:
If we divide 410 by 61, we get 6 and a remainder of 44.
Record the quotient 6 as the next digit in the result. 
Result so far: 11173.196
Subtracting 366 from 410 leaves us with 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

Moving on to step 10:
The number 61 fits into 440 7 times, leaving a remainder of 13.
Put 7 as the next digit of the answer. 
Result so far: 11173.1967
The remainder is 13 after subtracting 427 from 440.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Moving on to step 11:
130 divided by 61 is 2 with a remainder of 8.
The next digit of our result is 2. 
Result so far: 11173.19672
Subtracting 122 from 130 leaves us with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Moving on to step 12:
61 can be fit into 80 1 times, resulting in a remainder of 19.
The number 1 becomes the next digit in our result. 
Result so far: 11173.196721
Subtracting 61 from 80 leaves us with 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

On to step 13:
The number 61 fits into 190 3 times, leaving a remainder of 7.
The next digit of our result is 3. 
Result so far: 11173.1967213
Deduct 183 from 190 and we're left with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

On to step 14:
If we divide 70 by 61, we get 1 and a remainder of 9.
The number 1 becomes the next digit in our result. 
Result so far: 11173.19672131
If we subtract 61 from 70, we get 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

In conclusion, the division gives 11173.19672131 with a balance of 9e-09.