We're dividing 21206621 by 338 
Our goal is to divide 21206621 by 338.

Moving on to step 1:
338 can be fit into 2 0 times, resulting in a remainder of 2.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 2, we end up with 2.
Bring next digit (1) of the dividend behind the 2 and repeat the process: 21 / 338

Advancing to step 2:
When dividing 21 by 338, we get 0 with a remainder of 21.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 21, we get 21.
Take the next digit (2) from the dividend and append it to 21, then repeat: 212 / 338

Going ahead to step 3:
212 divided by 338 is 0 with a remainder of 212.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 212, we end up with 212.
Fetch the next digit (0) from the dividend, attach it to 212 and continue: 2120 / 338

Moving on to step 4:
When dividing 2120 by 338, we get 6 with a remainder of 92.
Write down 6 as next digit of the result. 
Result so far: 6.0
If we subtract 2028 from 2120, we get 92.
Bring next digit (6) of the dividend behind the 92 and repeat the process: 926 / 338

Step 5:
If we divide 926 by 338, we get 2 and a remainder of 250.
Write down 2 as next digit of the result. 
Result so far: 62.0
Deduct 676 from 926 and we're left with 250.
Grab the next digit (6) from the dividend, add it to 250, then carry on: 2506 / 338

On to step 6:
If we divide 2506 by 338, we get 7 and a remainder of 140.
Use 7 as the next digit of our solution. 
Result so far: 627.0
Subtract 2366 from 2506 to get 140.
Fetch the next digit (2) from the dividend, attach it to 140 and continue: 1402 / 338

On to step 7:
When dividing 1402 by 338, we get 4 with a remainder of 50.
Put 4 as the next digit of the answer. 
Result so far: 6274.0
If we take 1352 away from 1402, we end up with 50.
Bring next digit (1) of the dividend behind the 50 and repeat the process: 501 / 338

On to step 8:
501 divided by 338 is 1 with a remainder of 163.
Put 1 as the next digit of the answer. 
Result so far: 62741.0
If we take 338 away from 501, we end up with 163.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1630, and continue the process.

Let's proceed to step 9:
If we divide 1630 by 338, we get 4 and a remainder of 278.
Put 4 as the next digit of the answer. 
Result so far: 62741.4
Subtract 1352 from 1630 to get 278.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2780, and continue the process.

On to step 10:
2780 divided by 338 is 8 with a remainder of 76.
Use 8 as the next digit of our solution. 
Result so far: 62741.48
The remainder is 76 after subtracting 2704 from 2780.
Since there are no more digits in the dividend, we add a zero to the remainder making it 760, and continue the process.

Moving on to step 11:
338 goes into 760 2 times with a remainder of 84.
Use 2 as the next digit of our solution. 
Result so far: 62741.482
Subtract 676 from 760 to get 84.
Since there are no more digits in the dividend, we add a zero to the remainder making it 840, and continue the process.

Advancing to step 12:
338 goes into 840 2 times with a remainder of 164.
Use 2 as the next digit of our solution. 
Result so far: 62741.4822
Subtract 676 from 840 to get 164.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1640, and continue the process.

In conclusion, the division gives 62741.4822 with a balance of 0.00164.