We divide 105965 by 99
We want to figure out the number of times 105965 can be divided by 99.

Advancing to step 1:
If we divide 1 by 99, we get 0 and a remainder of 1.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 1 leaves us with 1.
Bring next digit (0) of the dividend behind the 1 and repeat the process: 10 / 99

On to step 2:
The number 99 fits into 10 0 times, leaving a remainder of 10.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 10 after subtracting 0 from 10.
Fetch the next digit (5) from the dividend, attach it to 10 and continue: 105 / 99

Let's proceed to step 3:
105 divided by 99 is 1 with a remainder of 6.
The next digit of our result is 1. 
Result so far: 1.0
If we subtract 99 from 105, we get 6.
Append the next digit (9) from the dividend to 6 and continue with: 69 / 99

Moving on to step 4:
99 goes into 69 0 times with a remainder of 69.
Record the quotient 0 as the next digit in the result. 
Result so far: 10.0
Deduct 0 from 69 and we're left with 69.
Grab the next digit (6) from the dividend, add it to 69, then carry on: 696 / 99

Advancing to step 5:
99 can be fit into 696 7 times, resulting in a remainder of 3.
Write down 7 as next digit of the result. 
Result so far: 107.0
If we take 693 away from 696, we end up with 3.
Include the next digit (5) from the dividend after 3, then repeat: 35 / 99

Moving on to step 6:
When dividing 35 by 99, we get 0 with a remainder of 35.
Use 0 as the next digit of our solution. 
Result so far: 1070.0
Subtracting 0 from 35 leaves us with 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Advancing to step 7:
350 divided by 99 is 3 with a remainder of 53.
The next digit of our result is 3. 
Result so far: 1070.3
If we take 297 away from 350, we end up with 53.
Since there are no more digits in the dividend, we add a zero to the remainder making it 530, and continue the process.

Let's proceed to step 8:
If we divide 530 by 99, we get 5 and a remainder of 35.
Record the quotient 5 as the next digit in the result. 
Result so far: 1070.35
Subtracting 495 from 530 leaves us with 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Moving on to step 9:
When dividing 350 by 99, we get 3 with a remainder of 53.
Use 3 as the next digit of our solution. 
Result so far: 1070.353
If we subtract 297 from 350, we get 53.
Since there are no more digits in the dividend, we add a zero to the remainder making it 530, and continue the process.

Advancing to step 10:
99 can be fit into 530 5 times, resulting in a remainder of 35.
Use 5 as the next digit of our solution. 
Result so far: 1070.3535
Deduct 495 from 530 and we're left with 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Let's proceed to step 11:
99 can be fit into 350 3 times, resulting in a remainder of 53.
Write down 3 as next digit of the result. 
Result so far: 1070.35353
If we take 297 away from 350, we end up with 53.
Since there are no more digits in the dividend, we add a zero to the remainder making it 530, and continue the process.

On to step 12:
99 can be fit into 530 5 times, resulting in a remainder of 35.
Put 5 as the next digit of the answer. 
Result so far: 1070.353535
Subtracting 495 from 530 leaves us with 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Advancing to step 13:
99 can be fit into 350 3 times, resulting in a remainder of 53.
Write down 3 as next digit of the result. 
Result so far: 1070.3535353
The remainder is 53 after subtracting 297 from 350.
Since there are no more digits in the dividend, we add a zero to the remainder making it 530, and continue the process.

On to step 14:
The number 99 fits into 530 5 times, leaving a remainder of 35.
Write down 5 as next digit of the result. 
Result so far: 1070.35353535
The remainder is 35 after subtracting 495 from 530.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Our division results in 1070.35353535 with a remaining 3.5e-08.