We look at the division of 38980668 by 966 
Our goal is to divide 38980668 by 966.

Step 1:
The number 966 fits into 3 0 times, leaving a remainder of 3.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 3 and we're left with 3.
Fetch the next digit (8) from the dividend, attach it to 3 and continue: 38 / 966

Advancing to step 2:
38 divided by 966 is 0 with a remainder of 38.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 38, we end up with 38.
Fetch the next digit (9) from the dividend, attach it to 38 and continue: 389 / 966

Step 3:
966 goes into 389 0 times with a remainder of 389.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 389 leaves us with 389.
Grab the next digit (8) from the dividend, add it to 389, then carry on: 3898 / 966

Advancing to step 4:
966 can be fit into 3898 4 times, resulting in a remainder of 34.
The next digit of our result is 4. 
Result so far: 4.0
Subtracting 3864 from 3898 leaves us with 34.
Append the next digit (0) from the dividend to 34 and continue with: 340 / 966

Moving on to step 5:
When dividing 340 by 966, we get 0 with a remainder of 340.
The next digit of our result is 0. 
Result so far: 40.0
Deduct 0 from 340 and we're left with 340.
Include the next digit (6) from the dividend after 340, then repeat: 3406 / 966

Let's proceed to step 6:
If we divide 3406 by 966, we get 3 and a remainder of 508.
The next digit of our result is 3. 
Result so far: 403.0
The remainder is 508 after subtracting 2898 from 3406.
Take the next digit (6) from the dividend and append it to 508, then repeat: 5086 / 966

On to step 7:
When dividing 5086 by 966, we get 5 with a remainder of 256.
Write down 5 as next digit of the result. 
Result so far: 4035.0
If we subtract 4830 from 5086, we get 256.
Grab the next digit (8) from the dividend, add it to 256, then carry on: 2568 / 966

Let's proceed to step 8:
If we divide 2568 by 966, we get 2 and a remainder of 636.
Write down 2 as next digit of the result. 
Result so far: 40352.0
If we take 1932 away from 2568, we end up with 636.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6360, and continue the process.

Step 9:
6360 divided by 966 is 6 with a remainder of 564.
The number 6 becomes the next digit in our result. 
Result so far: 40352.6
Subtracting 5796 from 6360 leaves us with 564.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5640, and continue the process.

Going ahead to step 10:
966 goes into 5640 5 times with a remainder of 810.
Put 5 as the next digit of the answer. 
Result so far: 40352.65
Deduct 4830 from 5640 and we're left with 810.
Since there are no more digits in the dividend, we add a zero to the remainder making it 8100, and continue the process.

Going ahead to step 11:
966 goes into 8100 8 times with a remainder of 372.
The number 8 becomes the next digit in our result. 
Result so far: 40352.658
Subtract 7728 from 8100 to get 372.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3720, and continue the process.

Advancing to step 12:
The number 966 fits into 3720 3 times, leaving a remainder of 822.
The next digit of our result is 3. 
Result so far: 40352.6583
If we take 2898 away from 3720, we end up with 822.
Since there are no more digits in the dividend, we add a zero to the remainder making it 8220, and continue the process.

Let's proceed to step 13:
The number 966 fits into 8220 8 times, leaving a remainder of 492.
The number 8 becomes the next digit in our result. 
Result so far: 40352.65838
Deduct 7728 from 8220 and we're left with 492.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4920, and continue the process.

Let's proceed to step 14:
If we divide 4920 by 966, we get 5 and a remainder of 90.
Use 5 as the next digit of our solution. 
Result so far: 40352.658385
If we subtract 4830 from 4920, we get 90.
Since there are no more digits in the dividend, we add a zero to the remainder making it 900, and continue the process.

Let's proceed to step 15:
900 divided by 966 is 0 with a remainder of 900.
Write down 0 as next digit of the result. 
Result so far: 40352.658385
If we take 0 away from 900, we end up with 900.
Since there are no more digits in the dividend, we add a zero to the remainder making it 9000, and continue the process.

Step 16:
966 can be fit into 9000 9 times, resulting in a remainder of 306.
The number 9 becomes the next digit in our result. 
Result so far: 40352.65838509
Subtracting 8694 from 9000 leaves us with 306.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3060, and continue the process.

The quotient of the division is 40352.65838509, and the remainder is 3.06e-07.