Let's divide 21138 by 37
Our goal is to divide 21138 by 37.

Advancing to step 1:
37 can be fit into 2 0 times, resulting in a remainder of 2.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 2 after subtracting 0 from 2.
Take the next digit (1) from the dividend and append it to 2, then repeat: 21 / 37

Advancing to step 2:
37 goes into 21 0 times with a remainder of 21.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 21, we end up with 21.
Grab the next digit (1) from the dividend, add it to 21, then carry on: 211 / 37

Step 3:
211 divided by 37 is 5 with a remainder of 26.
Put 5 as the next digit of the answer. 
Result so far: 5.0
If we subtract 185 from 211, we get 26.
Bring next digit (3) of the dividend behind the 26 and repeat the process: 263 / 37

Step 4:
The number 37 fits into 263 7 times, leaving a remainder of 4.
Write down 7 as next digit of the result. 
Result so far: 57.0
Subtracting 259 from 263 leaves us with 4.
Include the next digit (8) from the dividend after 4, then repeat: 48 / 37

Moving on to step 5:
When dividing 48 by 37, we get 1 with a remainder of 11.
The next digit of our result is 1. 
Result so far: 571.0
If we take 37 away from 48, we end up with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Let's proceed to step 6:
37 goes into 110 2 times with a remainder of 36.
Use 2 as the next digit of our solution. 
Result so far: 571.2
Subtract 74 from 110 to 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.

Step 7:
37 goes into 360 9 times with a remainder of 27.
Put 9 as the next digit of the answer. 
Result so far: 571.29
Deduct 333 from 360 and we're left with 27.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

Going ahead to step 8:
The number 37 fits into 270 7 times, leaving a remainder of 11.
The number 7 becomes the next digit in our result. 
Result so far: 571.297
Subtract 259 from 270 to get 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Let's proceed to step 9:
When dividing 110 by 37, we get 2 with a remainder of 36.
The next digit of our result is 2. 
Result so far: 571.2972
If we subtract 74 from 110, 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.

On to step 10:
When dividing 360 by 37, we get 9 with a remainder of 27.
The number 9 becomes the next digit in our result. 
Result so far: 571.29729
Deduct 333 from 360 and we're left with 27.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

Step 11:
270 divided by 37 is 7 with a remainder of 11.
Put 7 as the next digit of the answer. 
Result so far: 571.297297
If we take 259 away from 270, we end up with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Going ahead to step 12:
The number 37 fits into 110 2 times, leaving a remainder of 36.
Write down 2 as next digit of the result. 
Result so far: 571.2972972
Subtract 74 from 110 to 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.

Step 13:
The number 37 fits into 360 9 times, leaving a remainder of 27.
Record the quotient 9 as the next digit in the result. 
Result so far: 571.29729729
Subtracting 333 from 360 leaves us with 27.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

The final outcome is 571.29729729, with a leftover of 2.7e-08.