21185177 ÷ 338 
Let's see how many times 338 fits into 21185177.

Moving on to step 1:
The number 338 fits into 2 0 times, leaving a remainder of 2.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 2 after subtracting 0 from 2.
Bring next digit (1) of the dividend behind the 2 and repeat the process: 21 / 338

On to step 2:
338 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
The remainder is 21 after subtracting 0 from 21.
Take the next digit (1) from the dividend and append it to 21, then repeat: 211 / 338

Moving on to step 3:
211 divided by 338 is 0 with a remainder of 211.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 211, we get 211.
Include the next digit (8) from the dividend after 211, then repeat: 2118 / 338

Moving on to step 4:
2118 divided by 338 is 6 with a remainder of 90.
Write down 6 as next digit of the result. 
Result so far: 6.0
Subtracting 2028 from 2118 leaves us with 90.
Grab the next digit (5) from the dividend, add it to 90, then carry on: 905 / 338

On to step 5:
338 can be fit into 905 2 times, resulting in a remainder of 229.
Put 2 as the next digit of the answer. 
Result so far: 62.0
If we subtract 676 from 905, we get 229.
Take the next digit (1) from the dividend and append it to 229, then repeat: 2291 / 338

On to step 6:
If we divide 2291 by 338, we get 6 and a remainder of 263.
The number 6 becomes the next digit in our result. 
Result so far: 626.0
If we take 2028 away from 2291, we end up with 263.
Take the next digit (7) from the dividend and append it to 263, then repeat: 2637 / 338

Step 7:
If we divide 2637 by 338, we get 7 and a remainder of 271.
Put 7 as the next digit of the answer. 
Result so far: 6267.0
Subtract 2366 from 2637 to get 271.
Bring next digit (7) of the dividend behind the 271 and repeat the process: 2717 / 338

Advancing to step 8:
The number 338 fits into 2717 8 times, leaving a remainder of 13.
Use 8 as the next digit of our solution. 
Result so far: 62678.0
If we take 2704 away from 2717, we end up with 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Advancing to step 9:
If we divide 130 by 338, we get 0 and a remainder of 130.
The number 0 becomes the next digit in our result. 
Result so far: 62678.0
Deduct 0 from 130 and we're left with 130.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1300, and continue the process.

Let's proceed to step 10:
1300 divided by 338 is 3 with a remainder of 286.
Put 3 as the next digit of the answer. 
Result so far: 62678.03
The remainder is 286 after subtracting 1014 from 1300.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2860, and continue the process.

Advancing to step 11:
If we divide 2860 by 338, we get 8 and a remainder of 156.
The number 8 becomes the next digit in our result. 
Result so far: 62678.038
If we take 2704 away from 2860, we end up with 156.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1560, and continue the process.

Going ahead to step 12:
338 can be fit into 1560 4 times, resulting in a remainder of 208.
Write down 4 as next digit of the result. 
Result so far: 62678.0384
Deduct 1352 from 1560 and we're left with 208.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2080, and continue the process.

Advancing to step 13:
The number 338 fits into 2080 6 times, leaving a remainder of 52.
The next digit of our result is 6. 
Result so far: 62678.03846
If we take 2028 away from 2080, we end up with 52.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

Moving on to step 14:
When dividing 520 by 338, we get 1 with a remainder of 182.
The next digit of our result is 1. 
Result so far: 62678.038461
The remainder is 182 after subtracting 338 from 520.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1820, and continue the process.

Advancing to step 15:
When dividing 1820 by 338, we get 5 with a remainder of 130.
Write down 5 as next digit of the result. 
Result so far: 62678.0384615
Subtracting 1690 from 1820 leaves us with 130.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1300, and continue the process.

Let's proceed to step 16:
338 can be fit into 1300 3 times, resulting in a remainder of 286.
Record the quotient 3 as the next digit in the result. 
Result so far: 62678.03846153
Subtract 1014 from 1300 to get 286.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2860, and continue the process.

The final result is 62678.03846153 with a remainder of 2.86e-07.