41535165 ÷ 681 
Our goal is to divide 41535165 by 681.

Let's proceed to step 1:
4 divided by 681 is 0 with a remainder of 4.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 4 leaves us with 4.
Grab the next digit (1) from the dividend, add it to 4, then carry on: 41 / 681

Let's proceed to step 2:
If we divide 41 by 681, we get 0 and a remainder of 41.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 41, we end up with 41.
Bring next digit (5) of the dividend behind the 41 and repeat the process: 415 / 681

Advancing to step 3:
If we divide 415 by 681, we get 0 and a remainder of 415.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 415 and we're left with 415.
Append the next digit (3) from the dividend to 415 and continue with: 4153 / 681

On to step 4:
681 can be fit into 4153 6 times, resulting in a remainder of 67.
Write down 6 as next digit of the result. 
Result so far: 6.0
The remainder is 67 after subtracting 4086 from 4153.
Grab the next digit (5) from the dividend, add it to 67, then carry on: 675 / 681

Step 5:
When dividing 675 by 681, we get 0 with a remainder of 675.
The next digit of our result is 0. 
Result so far: 60.0
If we subtract 0 from 675, we get 675.
Bring next digit (1) of the dividend behind the 675 and repeat the process: 6751 / 681

On to step 6:
When dividing 6751 by 681, we get 9 with a remainder of 622.
Write down 9 as next digit of the result. 
Result so far: 609.0
Subtract 6129 from 6751 to get 622.
Append the next digit (6) from the dividend to 622 and continue with: 6226 / 681

Moving on to step 7:
When dividing 6226 by 681, we get 9 with a remainder of 97.
Use 9 as the next digit of our solution. 
Result so far: 6099.0
If we subtract 6129 from 6226, we get 97.
Take the next digit (5) from the dividend and append it to 97, then repeat: 975 / 681

Moving on to step 8:
When dividing 975 by 681, we get 1 with a remainder of 294.
Use 1 as the next digit of our solution. 
Result so far: 60991.0
Subtract 681 from 975 to get 294.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2940, and continue the process.

Moving on to step 9:
The number 681 fits into 2940 4 times, leaving a remainder of 216.
Record the quotient 4 as the next digit in the result. 
Result so far: 60991.4
Deduct 2724 from 2940 and we're left with 216.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2160, and continue the process.

Going ahead to step 10:
2160 divided by 681 is 3 with a remainder of 117.
The number 3 becomes the next digit in our result. 
Result so far: 60991.43
If we take 2043 away from 2160, we end up with 117.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1170, and continue the process.

Let's proceed to step 11:
1170 divided by 681 is 1 with a remainder of 489.
Use 1 as the next digit of our solution. 
Result so far: 60991.431
If we subtract 681 from 1170, we get 489.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4890, and continue the process.

Let's proceed to step 12:
681 goes into 4890 7 times with a remainder of 123.
Put 7 as the next digit of the answer. 
Result so far: 60991.4317
Subtracting 4767 from 4890 leaves us with 123.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1230, and continue the process.

Going ahead to step 13:
681 can be fit into 1230 1 times, resulting in a remainder of 549.
Write down 1 as next digit of the result. 
Result so far: 60991.43171
Subtract 681 from 1230 to get 549.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5490, and continue the process.

Moving on to step 14:
If we divide 5490 by 681, we get 8 and a remainder of 42.
Use 8 as the next digit of our solution. 
Result so far: 60991.431718
If we take 5448 away from 5490, we end up with 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Moving on to step 15:
The number 681 fits into 420 0 times, leaving a remainder of 420.
Record the quotient 0 as the next digit in the result. 
Result so far: 60991.431718
The remainder is 420 after subtracting 0 from 420.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4200, and continue the process.

Going ahead to step 16:
681 goes into 4200 6 times with a remainder of 114.
Put 6 as the next digit of the answer. 
Result so far: 60991.43171806
Subtract 4086 from 4200 to get 114.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1140, and continue the process.

The final result is 60991.43171806 with a remainder of 1.14e-07.