We look at the division of 961825 by 96 
We want to figure out the number of times 961825 can be divided by 96.

Step 1:
96 can be fit into 9 0 times, resulting in a remainder of 9.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 9 to get 9.
Take the next digit (6) from the dividend and append it to 9, then repeat: 96 / 96

Going ahead to step 2:
96 divided by 96 is 1 with a remainder of 0.
The next digit of our result is 1. 
Result so far: 1.0
If we take 96 away from 96, we end up with 0.
Fetch the next digit (1) from the dividend, attach it to 0 and continue: 1 / 96

On to step 3:
The number 96 fits into 1 0 times, leaving a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 10.0
The remainder is 1 after subtracting 0 from 1.
Bring next digit (8) of the dividend behind the 1 and repeat the process: 18 / 96

On to step 4:
The number 96 fits into 18 0 times, leaving a remainder of 18.
Put 0 as the next digit of the answer. 
Result so far: 100.0
If we take 0 away from 18, we end up with 18.
Grab the next digit (2) from the dividend, add it to 18, then carry on: 182 / 96

Moving on to step 5:
When dividing 182 by 96, we get 1 with a remainder of 86.
The next digit of our result is 1. 
Result so far: 1001.0
The remainder is 86 after subtracting 96 from 182.
Bring next digit (5) of the dividend behind the 86 and repeat the process: 865 / 96

Let's proceed to step 6:
When dividing 865 by 96, we get 9 with a remainder of 1.
Write down 9 as next digit of the result. 
Result so far: 10019.0
Deduct 864 from 865 and we're left with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Going ahead to step 7:
If we divide 10 by 96, we get 0 and a remainder of 10.
Record the quotient 0 as the next digit in the result. 
Result so far: 10019.0
The remainder is 10 after subtracting 0 from 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

On to step 8:
96 can be fit into 100 1 times, resulting in a remainder of 4.
Write down 1 as next digit of the result. 
Result so far: 10019.01
Deduct 96 from 100 and we're left with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Advancing to step 9:
96 can be fit into 40 0 times, resulting in a remainder of 40.
Put 0 as the next digit of the answer. 
Result so far: 10019.01
The remainder is 40 after subtracting 0 from 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Advancing to step 10:
If we divide 400 by 96, we get 4 and a remainder of 16.
The next digit of our result is 4. 
Result so far: 10019.0104
If we take 384 away from 400, we end up with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Advancing to step 11:
160 divided by 96 is 1 with a remainder of 64.
The number 1 becomes the next digit in our result. 
Result so far: 10019.01041
Subtract 96 from 160 to get 64.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

Advancing to step 12:
96 can be fit into 640 6 times, resulting in a remainder of 64.
Use 6 as the next digit of our solution. 
Result so far: 10019.010416
If we take 576 away from 640, we end up with 64.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

Going ahead to step 13:
If we divide 640 by 96, we get 6 and a remainder of 64.
Put 6 as the next digit of the answer. 
Result so far: 10019.0104166
Deduct 576 from 640 and we're left with 64.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

The quotient of the division is 10019.0104166, and the remainder is 6.4e-07.