Let's divide 968561 by 66
We're looking to find how many times 66 goes into 968561.

Step 1:
When dividing 9 by 66, we get 0 with a remainder of 9.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 9 after subtracting 0 from 9.
Include the next digit (6) from the dividend after 9, then repeat: 96 / 66

Going ahead to step 2:
When dividing 96 by 66, we get 1 with a remainder of 30.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Subtracting 66 from 96 leaves us with 30.
Bring next digit (8) of the dividend behind the 30 and repeat the process: 308 / 66

Going ahead to step 3:
66 goes into 308 4 times with a remainder of 44.
Put 4 as the next digit of the answer. 
Result so far: 14.0
Subtracting 264 from 308 leaves us with 44.
Take the next digit (5) from the dividend and append it to 44, then repeat: 445 / 66

Going ahead to step 4:
66 can be fit into 445 6 times, resulting in a remainder of 49.
Use 6 as the next digit of our solution. 
Result so far: 146.0
If we subtract 396 from 445, we get 49.
Grab the next digit (6) from the dividend, add it to 49, then carry on: 496 / 66

Advancing to step 5:
66 goes into 496 7 times with a remainder of 34.
The next digit of our result is 7. 
Result so far: 1467.0
Deduct 462 from 496 and we're left with 34.
Append the next digit (1) from the dividend to 34 and continue with: 341 / 66

Let's proceed to step 6:
If we divide 341 by 66, we get 5 and a remainder of 11.
Write down 5 as next digit of the result. 
Result so far: 14675.0
Subtract 330 from 341 to get 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Step 7:
The number 66 fits into 110 1 times, leaving a remainder of 44.
The number 1 becomes the next digit in our result. 
Result so far: 14675.1
Subtract 66 from 110 to get 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

Step 8:
When dividing 440 by 66, we get 6 with a remainder of 44.
Write down 6 as next digit of the result. 
Result so far: 14675.16
Deduct 396 from 440 and we're left with 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

Advancing to step 9:
66 goes into 440 6 times with a remainder of 44.
Record the quotient 6 as the next digit in the result. 
Result so far: 14675.166
Subtract 396 from 440 to get 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

The quotient of the division is 14675.166, and the remainder is 0.0044.