Let's divide 513863 by 37
We want to figure out the number of times 513863 can be divided by 37.

On to step 1:
The number 37 fits into 5 0 times, leaving a remainder of 5.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 5 to get 5.
Bring next digit (1) of the dividend behind the 5 and repeat the process: 51 / 37

Let's proceed to step 2:
If we divide 51 by 37, we get 1 and a remainder of 14.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Deduct 37 from 51 and we're left with 14.
Grab the next digit (3) from the dividend, add it to 14, then carry on: 143 / 37

On to step 3:
37 can be fit into 143 3 times, resulting in a remainder of 32.
Use 3 as the next digit of our solution. 
Result so far: 13.0
Subtract 111 from 143 to get 32.
Append the next digit (8) from the dividend to 32 and continue with: 328 / 37

On to step 4:
The number 37 fits into 328 8 times, leaving a remainder of 32.
The number 8 becomes the next digit in our result. 
Result so far: 138.0
Subtracting 296 from 328 leaves us with 32.
Bring next digit (6) of the dividend behind the 32 and repeat the process: 326 / 37

Moving on to step 5:
If we divide 326 by 37, we get 8 and a remainder of 30.
The number 8 becomes the next digit in our result. 
Result so far: 1388.0
If we take 296 away from 326, we end up with 30.
Append the next digit (3) from the dividend to 30 and continue with: 303 / 37

Advancing to step 6:
303 divided by 37 is 8 with a remainder of 7.
Record the quotient 8 as the next digit in the result. 
Result so far: 13888.0
If we subtract 296 from 303, we get 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Advancing to step 7:
37 goes into 70 1 times with a remainder of 33.
Use 1 as the next digit of our solution. 
Result so far: 13888.1
Deduct 37 from 70 and we're left with 33.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

Moving on to step 8:
The number 37 fits into 330 8 times, leaving a remainder of 34.
The number 8 becomes the next digit in our result. 
Result so far: 13888.18
If we subtract 296 from 330, we get 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Step 9:
The number 37 fits into 340 9 times, leaving a remainder of 7.
Use 9 as the next digit of our solution. 
Result so far: 13888.189
If we subtract 333 from 340, we get 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Advancing to step 10:
When dividing 70 by 37, we get 1 with a remainder of 33.
Record the quotient 1 as the next digit in the result. 
Result so far: 13888.1891
Deduct 37 from 70 and we're left with 33.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

On to step 11:
When dividing 330 by 37, we get 8 with a remainder of 34.
The number 8 becomes the next digit in our result. 
Result so far: 13888.18918
Deduct 296 from 330 and we're left with 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Step 12:
If we divide 340 by 37, we get 9 and a remainder of 7.
Record the quotient 9 as the next digit in the result. 
Result so far: 13888.189189
If we take 333 away from 340, we end up with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Step 13:
37 goes into 70 1 times with a remainder of 33.
Record the quotient 1 as the next digit in the result. 
Result so far: 13888.1891891
Subtracting 37 from 70 leaves us with 33.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

Going ahead to step 14:
If we divide 330 by 37, we get 8 and a remainder of 34.
Put 8 as the next digit of the answer. 
Result so far: 13888.18918918
If we take 296 away from 330, we end up with 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

The final outcome is 13888.18918918, with a leftover of 3.4e-08.