We look at the division of 21007659 by 138 
We're looking to find how many times 138 goes into 21007659.

Step 1:
If we divide 2 by 138, we get 0 and a remainder of 2.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 2 and we're left with 2.
Take the next digit (1) from the dividend and append it to 2, then repeat: 21 / 138

Moving on to step 2:
138 can be fit into 21 0 times, resulting in a remainder of 21.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 21, we get 21.
Append the next digit (0) from the dividend to 21 and continue with: 210 / 138

Step 3:
210 divided by 138 is 1 with a remainder of 72.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Deduct 138 from 210 and we're left with 72.
Fetch the next digit (0) from the dividend, attach it to 72 and continue: 720 / 138

Step 4:
138 can be fit into 720 5 times, resulting in a remainder of 30.
Write down 5 as next digit of the result. 
Result so far: 15.0
If we subtract 690 from 720, we get 30.
Grab the next digit (7) from the dividend, add it to 30, then carry on: 307 / 138

Moving on to step 5:
If we divide 307 by 138, we get 2 and a remainder of 31.
The next digit of our result is 2. 
Result so far: 152.0
If we subtract 276 from 307, we get 31.
Include the next digit (6) from the dividend after 31, then repeat: 316 / 138

On to step 6:
138 goes into 316 2 times with a remainder of 40.
Write down 2 as next digit of the result. 
Result so far: 1522.0
The remainder is 40 after subtracting 276 from 316.
Include the next digit (5) from the dividend after 40, then repeat: 405 / 138

On to step 7:
If we divide 405 by 138, we get 2 and a remainder of 129.
Use 2 as the next digit of our solution. 
Result so far: 15222.0
If we subtract 276 from 405, we get 129.
Include the next digit (9) from the dividend after 129, then repeat: 1299 / 138

Step 8:
When dividing 1299 by 138, we get 9 with a remainder of 57.
Put 9 as the next digit of the answer. 
Result so far: 152229.0
If we take 1242 away from 1299, we end up with 57.
Since there are no more digits in the dividend, we add a zero to the remainder making it 570, and continue the process.

Going ahead to step 9:
When dividing 570 by 138, we get 4 with a remainder of 18.
Put 4 as the next digit of the answer. 
Result so far: 152229.4
If we subtract 552 from 570, we 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.

Advancing to step 10:
When dividing 180 by 138, we get 1 with a remainder of 42.
The number 1 becomes the next digit in our result. 
Result so far: 152229.41
If we take 138 away from 180, we end up with 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

On to step 11:
When dividing 420 by 138, we get 3 with a remainder of 6.
The next digit of our result is 3. 
Result so far: 152229.413
Deduct 414 from 420 and we're left with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Let's proceed to step 12:
If we divide 60 by 138, we get 0 and a remainder of 60.
Write down 0 as next digit of the result. 
Result so far: 152229.413
Subtract 0 from 60 to get 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

Step 13:
If we divide 600 by 138, we get 4 and a remainder of 48.
Record the quotient 4 as the next digit in the result. 
Result so far: 152229.41304
Subtract 552 from 600 to get 48.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

Let's proceed to step 14:
138 goes into 480 3 times with a remainder of 66.
Use 3 as the next digit of our solution. 
Result so far: 152229.413043
If we subtract 414 from 480, we get 66.
Since there are no more digits in the dividend, we add a zero to the remainder making it 660, and continue the process.

Going ahead to step 15:
When dividing 660 by 138, we get 4 with a remainder of 108.
The next digit of our result is 4. 
Result so far: 152229.4130434
Subtract 552 from 660 to get 108.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1080, and continue the process.

On to step 16:
If we divide 1080 by 138, we get 7 and a remainder of 114.
Record the quotient 7 as the next digit in the result. 
Result so far: 152229.41304347
Deduct 966 from 1080 and we're left with 114.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1140, and continue the process.

Our division results in 152229.41304347 with a remaining 1.14e-07.