87809766 ÷ 969 
We're looking to find how many times 969 goes into 87809766.

Step 1:
If we divide 8 by 969, we get 0 and a remainder of 8.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 8 and we're left with 8.
Fetch the next digit (7) from the dividend, attach it to 8 and continue: 87 / 969

Moving on to step 2:
When dividing 87 by 969, we get 0 with a remainder of 87.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 87 to get 87.
Take the next digit (8) from the dividend and append it to 87, then repeat: 878 / 969

Advancing to step 3:
When dividing 878 by 969, we get 0 with a remainder of 878.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 878 after subtracting 0 from 878.
Take the next digit (0) from the dividend and append it to 878, then repeat: 8780 / 969

On to step 4:
When dividing 8780 by 969, we get 9 with a remainder of 59.
The next digit of our result is 9. 
Result so far: 9.0
The remainder is 59 after subtracting 8721 from 8780.
Include the next digit (9) from the dividend after 59, then repeat: 599 / 969

Advancing to step 5:
969 can be fit into 599 0 times, resulting in a remainder of 599.
Use 0 as the next digit of our solution. 
Result so far: 90.0
If we subtract 0 from 599, we get 599.
Fetch the next digit (7) from the dividend, attach it to 599 and continue: 5997 / 969

Moving on to step 6:
969 can be fit into 5997 6 times, resulting in a remainder of 183.
Record the quotient 6 as the next digit in the result. 
Result so far: 906.0
Subtract 5814 from 5997 to get 183.
Take the next digit (6) from the dividend and append it to 183, then repeat: 1836 / 969

On to step 7:
The number 969 fits into 1836 1 times, leaving a remainder of 867.
Write down 1 as next digit of the result. 
Result so far: 9061.0
The remainder is 867 after subtracting 969 from 1836.
Append the next digit (6) from the dividend to 867 and continue with: 8676 / 969

Step 8:
The number 969 fits into 8676 8 times, leaving a remainder of 924.
Put 8 as the next digit of the answer. 
Result so far: 90618.0
Subtracting 7752 from 8676 leaves us with 924.
Since there are no more digits in the dividend, we add a zero to the remainder making it 9240, and continue the process.

On to step 9:
969 can be fit into 9240 9 times, resulting in a remainder of 519.
The number 9 becomes the next digit in our result. 
Result so far: 90618.9
The remainder is 519 after subtracting 8721 from 9240.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5190, and continue the process.

Advancing to step 10:
969 goes into 5190 5 times with a remainder of 345.
The next digit of our result is 5. 
Result so far: 90618.95
Subtract 4845 from 5190 to get 345.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3450, and continue the process.

Advancing to step 11:
3450 divided by 969 is 3 with a remainder of 543.
The next digit of our result is 3. 
Result so far: 90618.953
Subtract 2907 from 3450 to get 543.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5430, and continue the process.

Going ahead to step 12:
969 goes into 5430 5 times with a remainder of 585.
The number 5 becomes the next digit in our result. 
Result so far: 90618.9535
Deduct 4845 from 5430 and we're left with 585.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5850, and continue the process.

Step 13:
5850 divided by 969 is 6 with a remainder of 36.
Put 6 as the next digit of the answer. 
Result so far: 90618.95356
Deduct 5814 from 5850 and we're left with 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Moving on to step 14:
969 can be fit into 360 0 times, resulting in a remainder of 360.
The number 0 becomes the next digit in our result. 
Result so far: 90618.95356
If we take 0 away from 360, we end up with 360.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3600, and continue the process.

Let's proceed to step 15:
If we divide 3600 by 969, we get 3 and a remainder of 693.
The number 3 becomes the next digit in our result. 
Result so far: 90618.9535603
The remainder is 693 after subtracting 2907 from 3600.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6930, and continue the process.

Step 16:
When dividing 6930 by 969, we get 7 with a remainder of 147.
The number 7 becomes the next digit in our result. 
Result so far: 90618.95356037
Subtracting 6783 from 6930 leaves us with 147.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1470, and continue the process.

The quotient of the division is 90618.95356037, and the remainder is 1.47e-07.