We look at the division of 513537 by 37 
We're looking to find how many times 37 goes into 513537.

Advancing to step 1:
The number 37 fits into 5 0 times, leaving a remainder of 5.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 5, we end up with 5.
Grab the next digit (1) from the dividend, add it to 5, then carry on: 51 / 37

On to step 2:
When dividing 51 by 37, we get 1 with a remainder of 14.
Write down 1 as next digit of the result. 
Result so far: 1.0
If we subtract 37 from 51, we get 14.
Include the next digit (3) from the dividend after 14, then repeat: 143 / 37

Moving on to step 3:
143 divided by 37 is 3 with a remainder of 32.
The next digit of our result is 3. 
Result so far: 13.0
The remainder is 32 after subtracting 111 from 143.
Grab the next digit (5) from the dividend, add it to 32, then carry on: 325 / 37

Moving on to step 4:
37 goes into 325 8 times with a remainder of 29.
The number 8 becomes the next digit in our result. 
Result so far: 138.0
Deduct 296 from 325 and we're left with 29.
Grab the next digit (3) from the dividend, add it to 29, then carry on: 293 / 37

Step 5:
37 goes into 293 7 times with a remainder of 34.
Use 7 as the next digit of our solution. 
Result so far: 1387.0
Deduct 259 from 293 and we're left with 34.
Grab the next digit (7) from the dividend, add it to 34, then carry on: 347 / 37

Let's proceed to step 6:
The number 37 fits into 347 9 times, leaving a remainder of 14.
Write down 9 as next digit of the result. 
Result so far: 13879.0
Deduct 333 from 347 and we're left with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

On to step 7:
37 can be fit into 140 3 times, resulting in a remainder of 29.
The number 3 becomes the next digit in our result. 
Result so far: 13879.3
Subtract 111 from 140 to get 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

Going ahead to step 8:
290 divided by 37 is 7 with a remainder of 31.
Write down 7 as next digit of the result. 
Result so far: 13879.37
If we take 259 away from 290, we end up with 31.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

On to step 9:
37 can be fit into 310 8 times, resulting in a remainder of 14.
The number 8 becomes the next digit in our result. 
Result so far: 13879.378
Deduct 296 from 310 and we're left with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Moving on to step 10:
37 can be fit into 140 3 times, resulting in a remainder of 29.
Write down 3 as next digit of the result. 
Result so far: 13879.3783
If we subtract 111 from 140, we get 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

Advancing to step 11:
290 divided by 37 is 7 with a remainder of 31.
Write down 7 as next digit of the result. 
Result so far: 13879.37837
Subtracting 259 from 290 leaves us with 31.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

Step 12:
If we divide 310 by 37, we get 8 and a remainder of 14.
The number 8 becomes the next digit in our result. 
Result so far: 13879.378378
Subtracting 296 from 310 leaves us with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Let's proceed to step 13:
When dividing 140 by 37, we get 3 with a remainder of 29.
Record the quotient 3 as the next digit in the result. 
Result so far: 13879.3783783
If we subtract 111 from 140, we get 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

Going ahead to step 14:
If we divide 290 by 37, we get 7 and a remainder of 31.
The next digit of our result is 7. 
Result so far: 13879.37837837
Deduct 259 from 290 and we're left with 31.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

Our division results in 13879.37837837 with a remaining 3.1e-08.