Let's divide 977338 by 966
We want to figure out the number of times 977338 can be divided by 966.

On to step 1:
The number 966 fits into 9 0 times, leaving a remainder of 9.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 9 and we're left with 9.
Append the next digit (7) from the dividend to 9 and continue with: 97 / 966

Step 2:
When dividing 97 by 966, we get 0 with a remainder of 97.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 97 to get 97.
Grab the next digit (7) from the dividend, add it to 97, then carry on: 977 / 966

Step 3:
977 divided by 966 is 1 with a remainder of 11.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Subtract 966 from 977 to get 11.
Include the next digit (3) from the dividend after 11, then repeat: 113 / 966

On to step 4:
113 divided by 966 is 0 with a remainder of 113.
Use 0 as the next digit of our solution. 
Result so far: 10.0
Subtracting 0 from 113 leaves us with 113.
Fetch the next digit (3) from the dividend, attach it to 113 and continue: 1133 / 966

Advancing to step 5:
966 can be fit into 1133 1 times, resulting in a remainder of 167.
The next digit of our result is 1. 
Result so far: 101.0
The remainder is 167 after subtracting 966 from 1133.
Fetch the next digit (8) from the dividend, attach it to 167 and continue: 1678 / 966

Going ahead to step 6:
When dividing 1678 by 966, we get 1 with a remainder of 712.
Use 1 as the next digit of our solution. 
Result so far: 1011.0
If we subtract 966 from 1678, we get 712.
Since there are no more digits in the dividend, we add a zero to the remainder making it 7120, and continue the process.

Going ahead to step 7:
966 goes into 7120 7 times with a remainder of 358.
Record the quotient 7 as the next digit in the result. 
Result so far: 1011.7
The remainder is 358 after subtracting 6762 from 7120.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3580, and continue the process.

Going ahead to step 8:
When dividing 3580 by 966, we get 3 with a remainder of 682.
Use 3 as the next digit of our solution. 
Result so far: 1011.73
Subtract 2898 from 3580 to get 682.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6820, and continue the process.

On to step 9:
966 can be fit into 6820 7 times, resulting in a remainder of 58.
The number 7 becomes the next digit in our result. 
Result so far: 1011.737
The remainder is 58 after subtracting 6762 from 6820.
Since there are no more digits in the dividend, we add a zero to the remainder making it 580, and continue the process.

Step 10:
If we divide 580 by 966, we get 0 and a remainder of 580.
The next digit of our result is 0. 
Result so far: 1011.737
Deduct 0 from 580 and we're left with 580.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5800, and continue the process.

On to step 11:
5800 divided by 966 is 6 with a remainder of 4.
Record the quotient 6 as the next digit in the result. 
Result so far: 1011.73706
If we take 5796 away from 5800, we end up with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Going ahead to step 12:
40 divided by 966 is 0 with a remainder of 40.
Put 0 as the next digit of the answer. 
Result so far: 1011.73706
Subtract 0 from 40 to get 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Moving on to step 13:
966 goes into 400 0 times with a remainder of 400.
Use 0 as the next digit of our solution. 
Result so far: 1011.73706
Deduct 0 from 400 and we're left with 400.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4000, and continue the process.

The final result is 1011.73706 with a remainder of 4e-06.