84157386 divided by 966 
We want to figure out the number of times 84157386 can be divided by 966.

On to step 1:
966 goes into 8 0 times with a remainder of 8.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 8, we end up with 8.
Append the next digit (4) from the dividend to 8 and continue with: 84 / 966

Going ahead to step 2:
If we divide 84 by 966, we get 0 and a remainder of 84.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 84 to get 84.
Include the next digit (1) from the dividend after 84, then repeat: 841 / 966

Moving on to step 3:
The number 966 fits into 841 0 times, leaving a remainder of 841.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 841, we end up with 841.
Include the next digit (5) from the dividend after 841, then repeat: 8415 / 966

Step 4:
966 can be fit into 8415 8 times, resulting in a remainder of 687.
Record the quotient 8 as the next digit in the result. 
Result so far: 8.0
Deduct 7728 from 8415 and we're left with 687.
Bring next digit (7) of the dividend behind the 687 and repeat the process: 6877 / 966

Advancing to step 5:
When dividing 6877 by 966, we get 7 with a remainder of 115.
Write down 7 as next digit of the result. 
Result so far: 87.0
Subtract 6762 from 6877 to get 115.
Take the next digit (3) from the dividend and append it to 115, then repeat: 1153 / 966

Advancing to step 6:
The number 966 fits into 1153 1 times, leaving a remainder of 187.
Use 1 as the next digit of our solution. 
Result so far: 871.0
The remainder is 187 after subtracting 966 from 1153.
Include the next digit (8) from the dividend after 187, then repeat: 1878 / 966

Going ahead to step 7:
966 goes into 1878 1 times with a remainder of 912.
Record the quotient 1 as the next digit in the result. 
Result so far: 8711.0
Subtract 966 from 1878 to get 912.
Include the next digit (6) from the dividend after 912, then repeat: 9126 / 966

Advancing to step 8:
If we divide 9126 by 966, we get 9 and a remainder of 432.
Use 9 as the next digit of our solution. 
Result so far: 87119.0
If we subtract 8694 from 9126, we get 432.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4320, and continue the process.

On to step 9:
966 can be fit into 4320 4 times, resulting in a remainder of 456.
Record the quotient 4 as the next digit in the result. 
Result so far: 87119.4
If we subtract 3864 from 4320, we get 456.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4560, and continue the process.

Advancing to step 10:
If we divide 4560 by 966, we get 4 and a remainder of 696.
Put 4 as the next digit of the answer. 
Result so far: 87119.44
Subtracting 3864 from 4560 leaves us with 696.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6960, and continue the process.

Our division results in 87119.44 with a remaining 0.696.