86409934 divided by 969 
Let's see how many times 969 fits into 86409934.

Step 1:
969 goes into 8 0 times with a remainder of 8.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 8, we get 8.
Take the next digit (6) from the dividend and append it to 8, then repeat: 86 / 969

Let's proceed to step 2:
86 divided by 969 is 0 with a remainder of 86.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 86 after subtracting 0 from 86.
Bring next digit (4) of the dividend behind the 86 and repeat the process: 864 / 969

Moving on to step 3:
864 divided by 969 is 0 with a remainder of 864.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 864 to get 864.
Fetch the next digit (0) from the dividend, attach it to 864 and continue: 8640 / 969

Let's proceed to step 4:
The number 969 fits into 8640 8 times, leaving a remainder of 888.
Use 8 as the next digit of our solution. 
Result so far: 8.0
Subtract 7752 from 8640 to get 888.
Append the next digit (9) from the dividend to 888 and continue with: 8889 / 969

Step 5:
The number 969 fits into 8889 9 times, leaving a remainder of 168.
Put 9 as the next digit of the answer. 
Result so far: 89.0
Subtract 8721 from 8889 to get 168.
Take the next digit (9) from the dividend and append it to 168, then repeat: 1689 / 969

On to step 6:
1689 divided by 969 is 1 with a remainder of 720.
Record the quotient 1 as the next digit in the result. 
Result so far: 891.0
Subtracting 969 from 1689 leaves us with 720.
Fetch the next digit (3) from the dividend, attach it to 720 and continue: 7203 / 969

Advancing to step 7:
When dividing 7203 by 969, we get 7 with a remainder of 420.
The next digit of our result is 7. 
Result so far: 8917.0
The remainder is 420 after subtracting 6783 from 7203.
Include the next digit (4) from the dividend after 420, then repeat: 4204 / 969

Going ahead to step 8:
When dividing 4204 by 969, we get 4 with a remainder of 328.
Write down 4 as next digit of the result. 
Result so far: 89174.0
The remainder is 328 after subtracting 3876 from 4204.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3280, and continue the process.

Let's proceed to step 9:
3280 divided by 969 is 3 with a remainder of 373.
Put 3 as the next digit of the answer. 
Result so far: 89174.3
The remainder is 373 after subtracting 2907 from 3280.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3730, and continue the process.

On to step 10:
The number 969 fits into 3730 3 times, leaving a remainder of 823.
The number 3 becomes the next digit in our result. 
Result so far: 89174.33
If we take 2907 away from 3730, we end up with 823.
Since there are no more digits in the dividend, we add a zero to the remainder making it 8230, and continue the process.

The quotient of the division is 89174.33, and the remainder is 0.823.