Let's divide 419526 by 37
Our goal is to divide 419526 by 37.

On to step 1:
The number 37 fits into 4 0 times, leaving a remainder of 4.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 4 and we're left with 4.
Fetch the next digit (1) from the dividend, attach it to 4 and continue: 41 / 37

Going ahead to step 2:
If we divide 41 by 37, we get 1 and a remainder of 4.
Write down 1 as next digit of the result. 
Result so far: 1.0
If we subtract 37 from 41, we get 4.
Include the next digit (9) from the dividend after 4, then repeat: 49 / 37

On to step 3:
37 can be fit into 49 1 times, resulting in a remainder of 12.
The number 1 becomes the next digit in our result. 
Result so far: 11.0
The remainder is 12 after subtracting 37 from 49.
Take the next digit (5) from the dividend and append it to 12, then repeat: 125 / 37

On to step 4:
If we divide 125 by 37, we get 3 and a remainder of 14.
The next digit of our result is 3. 
Result so far: 113.0
Deduct 111 from 125 and we're left with 14.
Append the next digit (2) from the dividend to 14 and continue with: 142 / 37

On to step 5:
37 goes into 142 3 times with a remainder of 31.
Use 3 as the next digit of our solution. 
Result so far: 1133.0
If we subtract 111 from 142, we get 31.
Take the next digit (6) from the dividend and append it to 31, then repeat: 316 / 37

Advancing to step 6:
37 goes into 316 8 times with a remainder of 20.
Put 8 as the next digit of the answer. 
Result so far: 11338.0
The remainder is 20 after subtracting 296 from 316.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Going ahead to step 7:
The number 37 fits into 200 5 times, leaving a remainder of 15.
Use 5 as the next digit of our solution. 
Result so far: 11338.5
The remainder is 15 after subtracting 185 from 200.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Advancing to step 8:
The number 37 fits into 150 4 times, leaving a remainder of 2.
Use 4 as the next digit of our solution. 
Result so far: 11338.54
If we take 148 away from 150, we end up with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Advancing to step 9:
37 can be fit into 20 0 times, resulting in a remainder of 20.
Record the quotient 0 as the next digit in the result. 
Result so far: 11338.54
The remainder is 20 after subtracting 0 from 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Moving on to step 10:
37 can be fit into 200 5 times, resulting in a remainder of 15.
Record the quotient 5 as the next digit in the result. 
Result so far: 11338.5405
If we subtract 185 from 200, we 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.

Advancing to step 11:
If we divide 150 by 37, we get 4 and a remainder of 2.
The next digit of our result is 4. 
Result so far: 11338.54054
If we subtract 148 from 150, we get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Advancing to step 12:
37 goes into 20 0 times with a remainder of 20.
The number 0 becomes the next digit in our result. 
Result so far: 11338.54054
The remainder is 20 after subtracting 0 from 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Let's proceed to step 13:
37 goes into 200 5 times with a remainder of 15.
The next digit of our result is 5. 
Result so far: 11338.5405405
The remainder is 15 after subtracting 185 from 200.
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 14:
If we divide 150 by 37, we get 4 and a remainder of 2.
Use 4 as the next digit of our solution. 
Result so far: 11338.54054054
If we take 148 away from 150, we end up with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

The final outcome is 11338.54054054, with a leftover of 2e-09.