We look at the division of 66105828 by 969 
We want to figure out the number of times 66105828 can be divided by 969.

Let's proceed to step 1:
6 divided by 969 is 0 with a remainder of 6.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 6 leaves us with 6.
Bring next digit (6) of the dividend behind the 6 and repeat the process: 66 / 969

Let's proceed to step 2:
When dividing 66 by 969, we get 0 with a remainder of 66.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 66 leaves us with 66.
Take the next digit (1) from the dividend and append it to 66, then repeat: 661 / 969

Step 3:
969 goes into 661 0 times with a remainder of 661.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 661 leaves us with 661.
Append the next digit (0) from the dividend to 661 and continue with: 6610 / 969

Advancing to step 4:
969 goes into 6610 6 times with a remainder of 796.
The next digit of our result is 6. 
Result so far: 6.0
Subtracting 5814 from 6610 leaves us with 796.
Bring next digit (5) of the dividend behind the 796 and repeat the process: 7965 / 969

On to step 5:
7965 divided by 969 is 8 with a remainder of 213.
Use 8 as the next digit of our solution. 
Result so far: 68.0
Deduct 7752 from 7965 and we're left with 213.
Include the next digit (8) from the dividend after 213, then repeat: 2138 / 969

On to step 6:
If we divide 2138 by 969, we get 2 and a remainder of 200.
Use 2 as the next digit of our solution. 
Result so far: 682.0
If we take 1938 away from 2138, we end up with 200.
Include the next digit (2) from the dividend after 200, then repeat: 2002 / 969

Moving on to step 7:
The number 969 fits into 2002 2 times, leaving a remainder of 64.
Use 2 as the next digit of our solution. 
Result so far: 6822.0
Subtract 1938 from 2002 to get 64.
Append the next digit (8) from the dividend to 64 and continue with: 648 / 969

Step 8:
648 divided by 969 is 0 with a remainder of 648.
The number 0 becomes the next digit in our result. 
Result so far: 68220.0
Subtract 0 from 648 to get 648.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6480, and continue the process.

On to step 9:
When dividing 6480 by 969, we get 6 with a remainder of 666.
The next digit of our result is 6. 
Result so far: 68220.6
Subtracting 5814 from 6480 leaves us with 666.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6660, and continue the process.

Step 10:
When dividing 6660 by 969, we get 6 with a remainder of 846.
Put 6 as the next digit of the answer. 
Result so far: 68220.66
Deduct 5814 from 6660 and we're left with 846.
Since there are no more digits in the dividend, we add a zero to the remainder making it 8460, and continue the process.

Our division results in 68220.66 with a remaining 0.846.