We look at the division of 968609 by 76 
We want to divide 968609 by 76.

Step 1:
76 goes into 9 0 times with 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.
Grab the next digit (6) from the dividend, add it to 9, then carry on: 96 / 76

Moving on to step 2:
76 goes into 96 1 times with a remainder of 20.
The next digit of our result is 1. 
Result so far: 1.0
Deduct 76 from 96 and we're left with 20.
Take the next digit (8) from the dividend and append it to 20, then repeat: 208 / 76

Going ahead to step 3:
When dividing 208 by 76, we get 2 with a remainder of 56.
The next digit of our result is 2. 
Result so far: 12.0
The remainder is 56 after subtracting 152 from 208.
Bring next digit (6) of the dividend behind the 56 and repeat the process: 566 / 76

Advancing to step 4:
76 can be fit into 566 7 times, resulting in a remainder of 34.
The number 7 becomes the next digit in our result. 
Result so far: 127.0
If we subtract 532 from 566, we get 34.
Bring next digit (0) of the dividend behind the 34 and repeat the process: 340 / 76

Moving on to step 5:
When dividing 340 by 76, we get 4 with a remainder of 36.
Write down 4 as next digit of the result. 
Result so far: 1274.0
If we take 304 away from 340, we end up with 36.
Append the next digit (9) from the dividend to 36 and continue with: 369 / 76

Step 6:
The number 76 fits into 369 4 times, leaving a remainder of 65.
The number 4 becomes the next digit in our result. 
Result so far: 12744.0
Deduct 304 from 369 and we're left with 65.
Since there are no more digits in the dividend, we add a zero to the remainder making it 650, and continue the process.

Moving on to step 7:
76 goes into 650 8 times with a remainder of 42.
Record the quotient 8 as the next digit in the result. 
Result so far: 12744.8
If we take 608 away from 650, we end up with 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 8:
If we divide 420 by 76, we get 5 and a remainder of 40.
Use 5 as the next digit of our solution. 
Result so far: 12744.85
Subtract 380 from 420 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.

Step 9:
When dividing 400 by 76, we get 5 with a remainder of 20.
Record the quotient 5 as the next digit in the result. 
Result so far: 12744.855
If we subtract 380 from 400, we get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

The final result is 12744.855 with a remainder of 0.002.