We're dividing 478526 by 41 
We want to figure out the number of times 478526 can be divided by 41.

Going ahead to step 1:
If we divide 4 by 41, we get 0 and a remainder of 4.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 4 leaves us with 4.
Grab the next digit (7) from the dividend, add it to 4, then carry on: 47 / 41

Step 2:
When dividing 47 by 41, we get 1 with a remainder of 6.
Put 1 as the next digit of the answer. 
Result so far: 1.0
If we take 41 away from 47, we end up with 6.
Include the next digit (8) from the dividend after 6, then repeat: 68 / 41

Let's proceed to step 3:
When dividing 68 by 41, we get 1 with a remainder of 27.
Use 1 as the next digit of our solution. 
Result so far: 11.0
If we take 41 away from 68, we end up with 27.
Grab the next digit (5) from the dividend, add it to 27, then carry on: 275 / 41

On to step 4:
If we divide 275 by 41, we get 6 and a remainder of 29.
Write down 6 as next digit of the result. 
Result so far: 116.0
If we subtract 246 from 275, we get 29.
Bring next digit (2) of the dividend behind the 29 and repeat the process: 292 / 41

Advancing to step 5:
When dividing 292 by 41, we get 7 with a remainder of 5.
Put 7 as the next digit of the answer. 
Result so far: 1167.0
Deduct 287 from 292 and we're left with 5.
Include the next digit (6) from the dividend after 5, then repeat: 56 / 41

Advancing to step 6:
41 can be fit into 56 1 times, resulting in a remainder of 15.
Write down 1 as next digit of the result. 
Result so far: 11671.0
If we take 41 away from 56, we end up with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

On to step 7:
150 divided by 41 is 3 with a remainder of 27.
Write down 3 as next digit of the result. 
Result so far: 11671.3
If we take 123 away from 150, we end up with 27.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

Going ahead to step 8:
The number 41 fits into 270 6 times, leaving a remainder of 24.
The number 6 becomes the next digit in our result. 
Result so far: 11671.36
Subtracting 246 from 270 leaves us with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Advancing to step 9:
240 divided by 41 is 5 with a remainder of 35.
The next digit of our result is 5. 
Result so far: 11671.365
Subtracting 205 from 240 leaves us with 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Step 10:
41 can be fit into 350 8 times, resulting in a remainder of 22.
Put 8 as the next digit of the answer. 
Result so far: 11671.3658
The remainder is 22 after subtracting 328 from 350.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Going ahead to step 11:
41 goes into 220 5 times with a remainder of 15.
The next digit of our result is 5. 
Result so far: 11671.36585
Subtract 205 from 220 to get 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Going ahead to step 12:
150 divided by 41 is 3 with a remainder of 27.
Put 3 as the next digit of the answer. 
Result so far: 11671.365853
The remainder is 27 after subtracting 123 from 150.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

Going ahead to step 13:
41 can be fit into 270 6 times, resulting in a remainder of 24.
The number 6 becomes the next digit in our result. 
Result so far: 11671.3658536
If we take 246 away from 270, we end up with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Advancing to step 14:
The number 41 fits into 240 5 times, leaving a remainder of 35.
Use 5 as the next digit of our solution. 
Result so far: 11671.36585365
Subtracting 205 from 240 leaves us with 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

After the division, we end up with 11671.36585365 and a remainder of 3.5e-08.