We look at the division of 256519 by 37 
Let's see how many times 37 fits into 256519.

On to step 1:
2 divided by 37 is 0 with a remainder of 2.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 2, we end up with 2.
Append the next digit (5) from the dividend to 2 and continue with: 25 / 37

Going ahead to step 2:
37 goes into 25 0 times with a remainder of 25.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 25 leaves us with 25.
Grab the next digit (6) from the dividend, add it to 25, then carry on: 256 / 37

Step 3:
The number 37 fits into 256 6 times, leaving a remainder of 34.
Write down 6 as next digit of the result. 
Result so far: 6.0
Deduct 222 from 256 and we're left with 34.
Grab the next digit (5) from the dividend, add it to 34, then carry on: 345 / 37

Moving on to step 4:
345 divided by 37 is 9 with a remainder of 12.
Write down 9 as next digit of the result. 
Result so far: 69.0
Subtract 333 from 345 to get 12.
Grab the next digit (1) from the dividend, add it to 12, then carry on: 121 / 37

Going ahead to step 5:
37 can be fit into 121 3 times, resulting in a remainder of 10.
Record the quotient 3 as the next digit in the result. 
Result so far: 693.0
Deduct 111 from 121 and we're left with 10.
Include the next digit (9) from the dividend after 10, then repeat: 109 / 37

Going ahead to step 6:
37 can be fit into 109 2 times, resulting in a remainder of 35.
Write down 2 as next digit of the result. 
Result so far: 6932.0
Subtracting 74 from 109 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.

Let's proceed to step 7:
The number 37 fits into 350 9 times, leaving a remainder of 17.
Write down 9 as next digit of the result. 
Result so far: 6932.9
If we subtract 333 from 350, we get 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

On to step 8:
When dividing 170 by 37, we get 4 with a remainder of 22.
Put 4 as the next digit of the answer. 
Result so far: 6932.94
Deduct 148 from 170 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.

Step 9:
37 goes into 220 5 times with a remainder of 35.
Record the quotient 5 as the next digit in the result. 
Result so far: 6932.945
Deduct 185 from 220 and we're left 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.

Advancing to step 10:
The number 37 fits into 350 9 times, leaving a remainder of 17.
Use 9 as the next digit of our solution. 
Result so far: 6932.9459
Deduct 333 from 350 and we're left with 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Advancing to step 11:
37 goes into 170 4 times with a remainder of 22.
Record the quotient 4 as the next digit in the result. 
Result so far: 6932.94594
If we subtract 148 from 170, we get 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 12:
37 goes into 220 5 times with a remainder of 35.
Write down 5 as next digit of the result. 
Result so far: 6932.945945
If we subtract 185 from 220, 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 13:
37 can be fit into 350 9 times, resulting in a remainder of 17.
Record the quotient 9 as the next digit in the result. 
Result so far: 6932.9459459
If we subtract 333 from 350, we get 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Step 14:
When dividing 170 by 37, we get 4 with a remainder of 22.
Use 4 as the next digit of our solution. 
Result so far: 6932.94594594
Deduct 148 from 170 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.

Our division results in 6932.94594594 with a remaining 2.2e-08.