We're dividing 41259779 by 681 
We're looking to find how many times 681 goes into 41259779.

Step 1:
The number 681 fits into 4 0 times, leaving a remainder of 4.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 4, we get 4.
Bring next digit (1) of the dividend behind the 4 and repeat the process: 41 / 681

Let's proceed to step 2:
The number 681 fits into 41 0 times, leaving a remainder of 41.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 41 and we're left with 41.
Grab the next digit (2) from the dividend, add it to 41, then carry on: 412 / 681

Step 3:
The number 681 fits into 412 0 times, leaving a remainder of 412.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 412 leaves us with 412.
Append the next digit (5) from the dividend to 412 and continue with: 4125 / 681

Moving on to step 4:
If we divide 4125 by 681, we get 6 and a remainder of 39.
The number 6 becomes the next digit in our result. 
Result so far: 6.0
If we subtract 4086 from 4125, we get 39.
Include the next digit (9) from the dividend after 39, then repeat: 399 / 681

Advancing to step 5:
If we divide 399 by 681, we get 0 and a remainder of 399.
Use 0 as the next digit of our solution. 
Result so far: 60.0
Subtract 0 from 399 to get 399.
Append the next digit (7) from the dividend to 399 and continue with: 3997 / 681

Let's proceed to step 6:
If we divide 3997 by 681, we get 5 and a remainder of 592.
Write down 5 as next digit of the result. 
Result so far: 605.0
If we take 3405 away from 3997, we end up with 592.
Fetch the next digit (7) from the dividend, attach it to 592 and continue: 5927 / 681

Moving on to step 7:
If we divide 5927 by 681, we get 8 and a remainder of 479.
Write down 8 as next digit of the result. 
Result so far: 6058.0
The remainder is 479 after subtracting 5448 from 5927.
Fetch the next digit (9) from the dividend, attach it to 479 and continue: 4799 / 681

Step 8:
4799 divided by 681 is 7 with a remainder of 32.
Use 7 as the next digit of our solution. 
Result so far: 60587.0
Subtract 4767 from 4799 to get 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

On to step 9:
If we divide 320 by 681, we get 0 and a remainder of 320.
Put 0 as the next digit of the answer. 
Result so far: 60587.0
If we take 0 away from 320, we end up with 320.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3200, and continue the process.

Going ahead to step 10:
681 can be fit into 3200 4 times, resulting in a remainder of 476.
Use 4 as the next digit of our solution. 
Result so far: 60587.04
The remainder is 476 after subtracting 2724 from 3200.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4760, and continue the process.

Moving on to step 11:
681 can be fit into 4760 6 times, resulting in a remainder of 674.
The number 6 becomes the next digit in our result. 
Result so far: 60587.046
Subtracting 4086 from 4760 leaves us with 674.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6740, and continue the process.

On to step 12:
The number 681 fits into 6740 9 times, leaving a remainder of 611.
The number 9 becomes the next digit in our result. 
Result so far: 60587.0469
The remainder is 611 after subtracting 6129 from 6740.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6110, and continue the process.

Moving on to step 13:
When dividing 6110 by 681, we get 8 with a remainder of 662.
The next digit of our result is 8. 
Result so far: 60587.04698
If we take 5448 away from 6110, we end up with 662.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6620, and continue the process.

Step 14:
6620 divided by 681 is 9 with a remainder of 491.
Record the quotient 9 as the next digit in the result. 
Result so far: 60587.046989
If we take 6129 away from 6620, we end up with 491.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4910, and continue the process.

Step 15:
The number 681 fits into 4910 7 times, leaving a remainder of 143.
Write down 7 as next digit of the result. 
Result so far: 60587.0469897
If we take 4767 away from 4910, we end up with 143.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1430, and continue the process.

Moving on to step 16:
1430 divided by 681 is 2 with a remainder of 68.
Put 2 as the next digit of the answer. 
Result so far: 60587.04698972
If we take 1362 away from 1430, we end up with 68.
Since there are no more digits in the dividend, we add a zero to the remainder making it 680, and continue the process.

Our division results in 60587.04698972 with a remaining 6.8e-08.