We're dividing 637196 by 41 
Our goal is to divide 637196 by 41.

Step 1:
When dividing 6 by 41, we get 0 with a remainder of 6.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 6, we get 6.
Append the next digit (3) from the dividend to 6 and continue with: 63 / 41

Step 2:
41 goes into 63 1 times with a remainder of 22.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
If we subtract 41 from 63, we get 22.
Fetch the next digit (7) from the dividend, attach it to 22 and continue: 227 / 41

Moving on to step 3:
227 divided by 41 is 5 with a remainder of 22.
Write down 5 as next digit of the result. 
Result so far: 15.0
If we subtract 205 from 227, we get 22.
Fetch the next digit (1) from the dividend, attach it to 22 and continue: 221 / 41

Going ahead to step 4:
41 goes into 221 5 times with a remainder of 16.
Write down 5 as next digit of the result. 
Result so far: 155.0
Subtract 205 from 221 to get 16.
Append the next digit (9) from the dividend to 16 and continue with: 169 / 41

Let's proceed to step 5:
If we divide 169 by 41, we get 4 and a remainder of 5.
Record the quotient 4 as the next digit in the result. 
Result so far: 1554.0
Subtract 164 from 169 to get 5.
Fetch the next digit (6) from the dividend, attach it to 5 and continue: 56 / 41

On to step 6:
When dividing 56 by 41, we get 1 with a remainder of 15.
Use 1 as the next digit of our solution. 
Result so far: 15541.0
Subtract 41 from 56 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.

Let's proceed to step 7:
The number 41 fits into 150 3 times, leaving a remainder of 27.
Write down 3 as next digit of the result. 
Result so far: 15541.3
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.

On to step 8:
270 divided by 41 is 6 with a remainder of 24.
Write down 6 as next digit of the result. 
Result so far: 15541.36
If we subtract 246 from 270, we get 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:
41 can be fit into 240 5 times, resulting in a remainder of 35.
Use 5 as the next digit of our solution. 
Result so far: 15541.365
If we subtract 205 from 240, we get 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:
The number 41 fits into 350 8 times, leaving a remainder of 22.
Record the quotient 8 as the next digit in the result. 
Result so far: 15541.3658
Deduct 328 from 350 and we're left with 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

On to step 11:
When dividing 220 by 41, we get 5 with a remainder of 15.
Write down 5 as next digit of the result. 
Result so far: 15541.36585
The remainder is 15 after subtracting 205 from 220.
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 12:
41 can be fit into 150 3 times, resulting in a remainder of 27.
Record the quotient 3 as the next digit in the result. 
Result so far: 15541.365853
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.

Let's proceed to step 13:
If we divide 270 by 41, we get 6 and a remainder of 24.
Record the quotient 6 as the next digit in the result. 
Result so far: 15541.3658536
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.

On to step 14:
When dividing 240 by 41, we get 5 with a remainder of 35.
Write down 5 as next digit of the result. 
Result so far: 15541.36585365
If we subtract 205 from 240, we get 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

The quotient of the division is 15541.36585365, and the remainder is 3.5e-08.