Let's divide 681095 by 41
Our goal is to divide 681095 by 41.

Step 1:
When dividing 6 by 41, we get 0 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 / 41

On to step 2:
68 divided by 41 is 1 with a remainder of 27.
Use 1 as the next digit of our solution. 
Result so far: 1.0
Deduct 41 from 68 and we're left with 27.
Include the next digit (1) from the dividend after 27, then repeat: 271 / 41

On to step 3:
The number 41 fits into 271 6 times, leaving a remainder of 25.
Write down 6 as next digit of the result. 
Result so far: 16.0
Subtract 246 from 271 to get 25.
Include the next digit (0) from the dividend after 25, then repeat: 250 / 41

Step 4:
When dividing 250 by 41, we get 6 with a remainder of 4.
The number 6 becomes the next digit in our result. 
Result so far: 166.0
Subtract 246 from 250 to get 4.
Fetch the next digit (9) from the dividend, attach it to 4 and continue: 49 / 41

Going ahead to step 5:
The number 41 fits into 49 1 times, leaving a remainder of 8.
Put 1 as the next digit of the answer. 
Result so far: 1661.0
Subtracting 41 from 49 leaves us with 8.
Include the next digit (5) from the dividend after 8, then repeat: 85 / 41

Advancing to step 6:
41 goes into 85 2 times with a remainder of 3.
Use 2 as the next digit of our solution. 
Result so far: 16612.0
Deduct 82 from 85 and we're left with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Step 7:
When dividing 30 by 41, we get 0 with a remainder of 30.
The next digit of our result is 0. 
Result so far: 16612.0
If we take 0 away from 30, we end up with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Step 8:
When dividing 300 by 41, we get 7 with a remainder of 13.
The number 7 becomes the next digit in our result. 
Result so far: 16612.07
If we subtract 287 from 300, we get 13.
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 9:
41 goes into 130 3 times with a remainder of 7.
The number 3 becomes the next digit in our result. 
Result so far: 16612.073
If we take 123 away from 130, we end up 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.

Going ahead to step 10:
41 can be fit into 70 1 times, resulting in a remainder of 29.
Record the quotient 1 as the next digit in the result. 
Result so far: 16612.0731
The remainder is 29 after subtracting 41 from 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

Advancing to step 11:
When dividing 290 by 41, we get 7 with a remainder of 3.
Use 7 as the next digit of our solution. 
Result so far: 16612.07317
The remainder is 3 after subtracting 287 from 290.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Step 12:
41 can be fit into 30 0 times, resulting in a remainder of 30.
Record the quotient 0 as the next digit in the result. 
Result so far: 16612.07317
Subtract 0 from 30 to get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Step 13:
The number 41 fits into 300 7 times, leaving a remainder of 13.
Put 7 as the next digit of the answer. 
Result so far: 16612.0731707
If we take 287 away from 300, we end up with 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Step 14:
41 can be fit into 130 3 times, resulting in a remainder of 7.
The number 3 becomes the next digit in our result. 
Result so far: 16612.07317073
Deduct 123 from 130 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.

The quotient of the division is 16612.07317073, and the remainder is 7e-09.