We look at the division of 41597506 by 679 
We want to figure out the number of times 41597506 can be divided by 679.

Advancing to step 1:
4 divided by 679 is 0 with a remainder of 4.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 4 to get 4.
Append the next digit (1) from the dividend to 4 and continue with: 41 / 679

On to step 2:
41 divided by 679 is 0 with a remainder of 41.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 41 to get 41.
Grab the next digit (5) from the dividend, add it to 41, then carry on: 415 / 679

On to step 3:
679 goes into 415 0 times with a remainder of 415.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 415, we end up with 415.
Grab the next digit (9) from the dividend, add it to 415, then carry on: 4159 / 679

Going ahead to step 4:
679 goes into 4159 6 times with a remainder of 85.
The number 6 becomes the next digit in our result. 
Result so far: 6.0
Deduct 4074 from 4159 and we're left with 85.
Append the next digit (7) from the dividend to 85 and continue with: 857 / 679

Let's proceed to step 5:
679 can be fit into 857 1 times, resulting in a remainder of 178.
Record the quotient 1 as the next digit in the result. 
Result so far: 61.0
Deduct 679 from 857 and we're left with 178.
Grab the next digit (5) from the dividend, add it to 178, then carry on: 1785 / 679

Going ahead to step 6:
The number 679 fits into 1785 2 times, leaving a remainder of 427.
Record the quotient 2 as the next digit in the result. 
Result so far: 612.0
Subtract 1358 from 1785 to get 427.
Append the next digit (0) from the dividend to 427 and continue with: 4270 / 679

Advancing to step 7:
If we divide 4270 by 679, we get 6 and a remainder of 196.
Record the quotient 6 as the next digit in the result. 
Result so far: 6126.0
Deduct 4074 from 4270 and we're left with 196.
Grab the next digit (6) from the dividend, add it to 196, then carry on: 1966 / 679

Going ahead to step 8:
1966 divided by 679 is 2 with a remainder of 608.
Write down 2 as next digit of the result. 
Result so far: 61262.0
Subtract 1358 from 1966 to get 608.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6080, and continue the process.

Going ahead to step 9:
If we divide 6080 by 679, we get 8 and a remainder of 648.
Record the quotient 8 as the next digit in the result. 
Result so far: 61262.8
Subtract 5432 from 6080 to get 648.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6480, and continue the process.

Moving on to step 10:
The number 679 fits into 6480 9 times, leaving a remainder of 369.
Put 9 as the next digit of the answer. 
Result so far: 61262.89
If we subtract 6111 from 6480, we get 369.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3690, and continue the process.

Going ahead to step 11:
The number 679 fits into 3690 5 times, leaving a remainder of 295.
Write down 5 as next digit of the result. 
Result so far: 61262.895
If we subtract 3395 from 3690, we get 295.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2950, and continue the process.

Moving on to step 12:
When dividing 2950 by 679, we get 4 with a remainder of 234.
Put 4 as the next digit of the answer. 
Result so far: 61262.8954
If we subtract 2716 from 2950, we get 234.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2340, and continue the process.

Advancing to step 13:
2340 divided by 679 is 3 with a remainder of 303.
Use 3 as the next digit of our solution. 
Result so far: 61262.89543
If we take 2037 away from 2340, we end up with 303.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3030, and continue the process.

Going ahead to step 14:
3030 divided by 679 is 4 with a remainder of 314.
Record the quotient 4 as the next digit in the result. 
Result so far: 61262.895434
If we subtract 2716 from 3030, we get 314.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3140, and continue the process.

Going ahead to step 15:
679 goes into 3140 4 times with a remainder of 424.
The number 4 becomes the next digit in our result. 
Result so far: 61262.8954344
Deduct 2716 from 3140 and we're left with 424.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4240, and continue the process.

After the division, we end up with 61262.8954344 and a remainder of 4.24e-06.