815431 ÷ 37 
Our goal is to divide 815431 by 37.

Advancing to step 1:
When dividing 8 by 37, we get 0 with a remainder of 8.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 8, we end up with 8.
Take the next digit (1) from the dividend and append it to 8, then repeat: 81 / 37

On to step 2:
37 goes into 81 2 times with a remainder of 7.
Write down 2 as next digit of the result. 
Result so far: 2.0
If we subtract 74 from 81, we get 7.
Take the next digit (5) from the dividend and append it to 7, then repeat: 75 / 37

Moving on to step 3:
The number 37 fits into 75 2 times, leaving a remainder of 1.
The number 2 becomes the next digit in our result. 
Result so far: 22.0
The remainder is 1 after subtracting 74 from 75.
Bring next digit (4) of the dividend behind the 1 and repeat the process: 14 / 37

Step 4:
If we divide 14 by 37, we get 0 and a remainder of 14.
Use 0 as the next digit of our solution. 
Result so far: 220.0
Subtract 0 from 14 to get 14.
Append the next digit (3) from the dividend to 14 and continue with: 143 / 37

Advancing to step 5:
37 goes into 143 3 times with a remainder of 32.
Write down 3 as next digit of the result. 
Result so far: 2203.0
The remainder is 32 after subtracting 111 from 143.
Fetch the next digit (1) from the dividend, attach it to 32 and continue: 321 / 37

Let's proceed to step 6:
The number 37 fits into 321 8 times, leaving a remainder of 25.
The number 8 becomes the next digit in our result. 
Result so far: 22038.0
If we take 296 away from 321, we end up with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Going ahead to step 7:
37 goes into 250 6 times with a remainder of 28.
Write down 6 as next digit of the result. 
Result so far: 22038.6
The remainder is 28 after subtracting 222 from 250.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Moving on to step 8:
When dividing 280 by 37, we get 7 with a remainder of 21.
Write down 7 as next digit of the result. 
Result so far: 22038.67
Subtract 259 from 280 to get 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Going ahead to step 9:
If we divide 210 by 37, we get 5 and a remainder of 25.
Write down 5 as next digit of the result. 
Result so far: 22038.675
If we subtract 185 from 210, we get 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Step 10:
When dividing 250 by 37, we get 6 with a remainder of 28.
The next digit of our result is 6. 
Result so far: 22038.6756
Subtract 222 from 250 to get 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Moving on to step 11:
280 divided by 37 is 7 with a remainder of 21.
The number 7 becomes the next digit in our result. 
Result so far: 22038.67567
Subtracting 259 from 280 leaves us with 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Let's proceed to step 12:
The number 37 fits into 210 5 times, leaving a remainder of 25.
Use 5 as the next digit of our solution. 
Result so far: 22038.675675
If we take 185 away from 210, we end up with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Let's proceed to step 13:
37 goes into 250 6 times with a remainder of 28.
Put 6 as the next digit of the answer. 
Result so far: 22038.6756756
The remainder is 28 after subtracting 222 from 250.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Moving on to step 14:
37 can be fit into 280 7 times, resulting in a remainder of 21.
Put 7 as the next digit of the answer. 
Result so far: 22038.67567567
Deduct 259 from 280 and we're left with 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

After the division, we end up with 22038.67567567 and a remainder of 2.1e-08.