We look at the division of 10661329 by 338 
We want to figure out the number of times 10661329 can be divided by 338.

Step 1:
338 goes into 1 0 times with a remainder of 1.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 1, we end up with 1.
Append the next digit (0) from the dividend to 1 and continue with: 10 / 338

Let's proceed to step 2:
338 can be fit into 10 0 times, resulting in a remainder of 10.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 10 leaves us with 10.
Fetch the next digit (6) from the dividend, attach it to 10 and continue: 106 / 338

Going ahead to step 3:
If we divide 106 by 338, we get 0 and a remainder of 106.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 106 and we're left with 106.
Include the next digit (6) from the dividend after 106, then repeat: 1066 / 338

On to step 4:
338 can be fit into 1066 3 times, resulting in a remainder of 52.
Write down 3 as next digit of the result. 
Result so far: 3.0
Subtract 1014 from 1066 to get 52.
Append the next digit (1) from the dividend to 52 and continue with: 521 / 338

Advancing to step 5:
If we divide 521 by 338, we get 1 and a remainder of 183.
Record the quotient 1 as the next digit in the result. 
Result so far: 31.0
If we subtract 338 from 521, we get 183.
Fetch the next digit (3) from the dividend, attach it to 183 and continue: 1833 / 338

Let's proceed to step 6:
The number 338 fits into 1833 5 times, leaving a remainder of 143.
The number 5 becomes the next digit in our result. 
Result so far: 315.0
Deduct 1690 from 1833 and we're left with 143.
Take the next digit (2) from the dividend and append it to 143, then repeat: 1432 / 338

Going ahead to step 7:
1432 divided by 338 is 4 with a remainder of 80.
The number 4 becomes the next digit in our result. 
Result so far: 3154.0
Subtracting 1352 from 1432 leaves us with 80.
Grab the next digit (9) from the dividend, add it to 80, then carry on: 809 / 338

Step 8:
338 can be fit into 809 2 times, resulting in a remainder of 133.
Put 2 as the next digit of the answer. 
Result so far: 31542.0
Subtract 676 from 809 to get 133.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1330, and continue the process.

Moving on to step 9:
If we divide 1330 by 338, we get 3 and a remainder of 316.
The next digit of our result is 3. 
Result so far: 31542.3
If we take 1014 away from 1330, we end up with 316.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3160, and continue the process.

Let's proceed to step 10:
If we divide 3160 by 338, we get 9 and a remainder of 118.
The next digit of our result is 9. 
Result so far: 31542.39
The remainder is 118 after subtracting 3042 from 3160.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1180, and continue the process.

On to step 11:
338 goes into 1180 3 times with a remainder of 166.
The number 3 becomes the next digit in our result. 
Result so far: 31542.393
Subtract 1014 from 1180 to get 166.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1660, and continue the process.

Step 12:
When dividing 1660 by 338, we get 4 with a remainder of 308.
Write down 4 as next digit of the result. 
Result so far: 31542.3934
Deduct 1352 from 1660 and we're left with 308.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3080, and continue the process.

Moving on to step 13:
The number 338 fits into 3080 9 times, leaving a remainder of 38.
Record the quotient 9 as the next digit in the result. 
Result so far: 31542.39349
Deduct 3042 from 3080 and we're left with 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Going ahead to step 14:
If we divide 380 by 338, we get 1 and a remainder of 42.
Put 1 as the next digit of the answer. 
Result so far: 31542.393491
Subtract 338 from 380 to get 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Moving on to step 15:
When dividing 420 by 338, we get 1 with a remainder of 82.
Use 1 as the next digit of our solution. 
Result so far: 31542.3934911
If we subtract 338 from 420, we get 82.
Since there are no more digits in the dividend, we add a zero to the remainder making it 820, and continue the process.

The quotient of the division is 31542.3934911, and the remainder is 8.2e-07.