We look at the division of 53516 by 38 
We want to figure out the number of times 53516 can be divided by 38.

Going ahead to step 1:
5 divided by 38 is 0 with a remainder of 5.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 5 to get 5.
Grab the next digit (3) from the dividend, add it to 5, then carry on: 53 / 38

Going ahead to step 2:
38 goes into 53 1 times with a remainder of 15.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
If we subtract 38 from 53, we get 15.
Grab the next digit (5) from the dividend, add it to 15, then carry on: 155 / 38

Advancing to step 3:
155 divided by 38 is 4 with a remainder of 3.
Use 4 as the next digit of our solution. 
Result so far: 14.0
Subtract 152 from 155 to get 3.
Bring next digit (1) of the dividend behind the 3 and repeat the process: 31 / 38

Let's proceed to step 4:
The number 38 fits into 31 0 times, leaving a remainder of 31.
The number 0 becomes the next digit in our result. 
Result so far: 140.0
If we subtract 0 from 31, we get 31.
Include the next digit (6) from the dividend after 31, then repeat: 316 / 38

Advancing to step 5:
When dividing 316 by 38, we get 8 with a remainder of 12.
Write down 8 as next digit of the result. 
Result so far: 1408.0
Subtracting 304 from 316 leaves us with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Step 6:
38 can be fit into 120 3 times, resulting in a remainder of 6.
Use 3 as the next digit of our solution. 
Result so far: 1408.3
The remainder is 6 after subtracting 114 from 120.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Advancing to step 7:
38 goes into 60 1 times with a remainder of 22.
Put 1 as the next digit of the answer. 
Result so far: 1408.31
If we take 38 away from 60, we end up 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.

On to step 8:
38 goes into 220 5 times with a remainder of 30.
The number 5 becomes the next digit in our result. 
Result so far: 1408.315
The remainder is 30 after subtracting 190 from 220.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Let's proceed to step 9:
300 divided by 38 is 7 with a remainder of 34.
Write down 7 as next digit of the result. 
Result so far: 1408.3157
The remainder is 34 after subtracting 266 from 300.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Going ahead to step 10:
If we divide 340 by 38, we get 8 and a remainder of 36.
The number 8 becomes the next digit in our result. 
Result so far: 1408.31578
If we subtract 304 from 340, we get 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Going ahead to step 11:
360 divided by 38 is 9 with a remainder of 18.
The number 9 becomes the next digit in our result. 
Result so far: 1408.315789
Subtract 342 from 360 to get 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

On to step 12:
180 divided by 38 is 4 with a remainder of 28.
Write down 4 as next digit of the result. 
Result so far: 1408.3157894
If we take 152 away from 180, we end up with 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Advancing to step 13:
If we divide 280 by 38, we get 7 and a remainder of 14.
Use 7 as the next digit of our solution. 
Result so far: 1408.31578947
Deduct 266 from 280 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.

Our division results in 1408.31578947 with a remaining 1.4e-08.