We look at the division of 953689 by 66 
We're looking to find how many times 66 goes into 953689.

Going ahead to step 1:
When dividing 9 by 66, we get 0 with a remainder of 9.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 9, we end up with 9.
Take the next digit (5) from the dividend and append it to 9, then repeat: 95 / 66

Going ahead to step 2:
66 goes into 95 1 times with a remainder of 29.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Subtracting 66 from 95 leaves us with 29.
Grab the next digit (3) from the dividend, add it to 29, then carry on: 293 / 66

Going ahead to step 3:
66 can be fit into 293 4 times, resulting in a remainder of 29.
The number 4 becomes the next digit in our result. 
Result so far: 14.0
Deduct 264 from 293 and we're left with 29.
Fetch the next digit (6) from the dividend, attach it to 29 and continue: 296 / 66

Moving on to step 4:
296 divided by 66 is 4 with a remainder of 32.
The next digit of our result is 4. 
Result so far: 144.0
Subtract 264 from 296 to get 32.
Take the next digit (8) from the dividend and append it to 32, then repeat: 328 / 66

Let's proceed to step 5:
When dividing 328 by 66, we get 4 with a remainder of 64.
The number 4 becomes the next digit in our result. 
Result so far: 1444.0
Subtracting 264 from 328 leaves us with 64.
Bring next digit (9) of the dividend behind the 64 and repeat the process: 649 / 66

Moving on to step 6:
66 can be fit into 649 9 times, resulting in a remainder of 55.
The next digit of our result is 9. 
Result so far: 14449.0
Subtracting 594 from 649 leaves us with 55.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

Going ahead to step 7:
If we divide 550 by 66, we get 8 and a remainder of 22.
Write down 8 as next digit of the result. 
Result so far: 14449.8
Deduct 528 from 550 and we're left with 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Advancing to step 8:
220 divided by 66 is 3 with a remainder of 22.
Put 3 as the next digit of the answer. 
Result so far: 14449.83
The remainder is 22 after subtracting 198 from 220.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Moving on to step 9:
66 can be fit into 220 3 times, resulting in a remainder of 22.
Write down 3 as next digit of the result. 
Result so far: 14449.833
Subtract 198 from 220 to get 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

In conclusion, the division gives 14449.833 with a balance of 0.0022.