We look at the division of 71761295 by 966 
We want to divide 71761295 by 966.

Going ahead to step 1:
The number 966 fits into 7 0 times, leaving a remainder of 7.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 7, we end up with 7.
Include the next digit (1) from the dividend after 7, then repeat: 71 / 966

On to step 2:
If we divide 71 by 966, we get 0 and a remainder of 71.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 71 after subtracting 0 from 71.
Include the next digit (7) from the dividend after 71, then repeat: 717 / 966

On to step 3:
If we divide 717 by 966, we get 0 and a remainder of 717.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 717 and we're left with 717.
Take the next digit (6) from the dividend and append it to 717, then repeat: 7176 / 966

Going ahead to step 4:
If we divide 7176 by 966, we get 7 and a remainder of 414.
The number 7 becomes the next digit in our result. 
Result so far: 7.0
Subtract 6762 from 7176 to get 414.
Bring next digit (1) of the dividend behind the 414 and repeat the process: 4141 / 966

Step 5:
The number 966 fits into 4141 4 times, leaving a remainder of 277.
Put 4 as the next digit of the answer. 
Result so far: 74.0
If we subtract 3864 from 4141, we get 277.
Fetch the next digit (2) from the dividend, attach it to 277 and continue: 2772 / 966

Advancing to step 6:
2772 divided by 966 is 2 with a remainder of 840.
Use 2 as the next digit of our solution. 
Result so far: 742.0
If we subtract 1932 from 2772, we get 840.
Fetch the next digit (9) from the dividend, attach it to 840 and continue: 8409 / 966

Moving on to step 7:
8409 divided by 966 is 8 with a remainder of 681.
Put 8 as the next digit of the answer. 
Result so far: 7428.0
Subtract 7728 from 8409 to get 681.
Grab the next digit (5) from the dividend, add it to 681, then carry on: 6815 / 966

Step 8:
The number 966 fits into 6815 7 times, leaving a remainder of 53.
Use 7 as the next digit of our solution. 
Result so far: 74287.0
The remainder is 53 after subtracting 6762 from 6815.
Since there are no more digits in the dividend, we add a zero to the remainder making it 530, and continue the process.

Going ahead to step 9:
The number 966 fits into 530 0 times, leaving a remainder of 530.
Put 0 as the next digit of the answer. 
Result so far: 74287.0
Deduct 0 from 530 and we're left with 530.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5300, and continue the process.

Advancing to step 10:
The number 966 fits into 5300 5 times, leaving a remainder of 470.
Record the quotient 5 as the next digit in the result. 
Result so far: 74287.05
Deduct 4830 from 5300 and we're left with 470.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4700, and continue the process.

Advancing to step 11:
966 goes into 4700 4 times with a remainder of 836.
Use 4 as the next digit of our solution. 
Result so far: 74287.054
If we take 3864 away from 4700, we end up with 836.
Since there are no more digits in the dividend, we add a zero to the remainder making it 8360, and continue the process.

On to step 12:
966 can be fit into 8360 8 times, resulting in a remainder of 632.
The next digit of our result is 8. 
Result so far: 74287.0548
Subtracting 7728 from 8360 leaves us with 632.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6320, and continue the process.

Going ahead to step 13:
The number 966 fits into 6320 6 times, leaving a remainder of 524.
Write down 6 as next digit of the result. 
Result so far: 74287.05486
Deduct 5796 from 6320 and we're left with 524.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5240, and continue the process.

Going ahead to step 14:
966 goes into 5240 5 times with a remainder of 410.
Use 5 as the next digit of our solution. 
Result so far: 74287.054865
If we take 4830 away from 5240, we end up with 410.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4100, and continue the process.

Let's proceed to step 15:
966 can be fit into 4100 4 times, resulting in a remainder of 236.
The number 4 becomes the next digit in our result. 
Result so far: 74287.0548654
Deduct 3864 from 4100 and we're left with 236.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2360, and continue the process.

Moving on to step 16:
If we divide 2360 by 966, we get 2 and a remainder of 428.
Record the quotient 2 as the next digit in the result. 
Result so far: 74287.05486542
Subtracting 1932 from 2360 leaves us with 428.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4280, and continue the process.

The quotient of the division is 74287.05486542, and the remainder is 4.28e-07.