91144108 ÷ 829 
Our goal is to divide 91144108 by 829.

Going ahead to step 1:
The number 829 fits into 9 0 times, leaving a remainder of 9.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 9 and we're left with 9.
Include the next digit (1) from the dividend after 9, then repeat: 91 / 829

Let's proceed to step 2:
The number 829 fits into 91 0 times, leaving a remainder of 91.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 91, we get 91.
Append the next digit (1) from the dividend to 91 and continue with: 911 / 829

Let's proceed to step 3:
829 goes into 911 1 times with a remainder of 82.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
The remainder is 82 after subtracting 829 from 911.
Append the next digit (4) from the dividend to 82 and continue with: 824 / 829

On to step 4:
829 can be fit into 824 0 times, resulting in a remainder of 824.
The number 0 becomes the next digit in our result. 
Result so far: 10.0
Subtracting 0 from 824 leaves us with 824.
Bring next digit (4) of the dividend behind the 824 and repeat the process: 8244 / 829

Step 5:
The number 829 fits into 8244 9 times, leaving a remainder of 783.
Record the quotient 9 as the next digit in the result. 
Result so far: 109.0
Subtract 7461 from 8244 to get 783.
Fetch the next digit (1) from the dividend, attach it to 783 and continue: 7831 / 829

Moving on to step 6:
7831 divided by 829 is 9 with a remainder of 370.
Use 9 as the next digit of our solution. 
Result so far: 1099.0
Deduct 7461 from 7831 and we're left with 370.
Take the next digit (0) from the dividend and append it to 370, then repeat: 3700 / 829

Going ahead to step 7:
829 goes into 3700 4 times with a remainder of 384.
The number 4 becomes the next digit in our result. 
Result so far: 10994.0
If we take 3316 away from 3700, we end up with 384.
Fetch the next digit (8) from the dividend, attach it to 384 and continue: 3848 / 829

Moving on to step 8:
3848 divided by 829 is 4 with a remainder of 532.
Use 4 as the next digit of our solution. 
Result so far: 109944.0
Subtracting 3316 from 3848 leaves us with 532.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5320, and continue the process.

On to step 9:
829 goes into 5320 6 times with a remainder of 346.
Use 6 as the next digit of our solution. 
Result so far: 109944.6
The remainder is 346 after subtracting 4974 from 5320.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3460, and continue the process.

Step 10:
If we divide 3460 by 829, we get 4 and a remainder of 144.
Use 4 as the next digit of our solution. 
Result so far: 109944.64
If we subtract 3316 from 3460, we get 144.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1440, and continue the process.

Advancing to step 11:
The number 829 fits into 1440 1 times, leaving a remainder of 611.
The number 1 becomes the next digit in our result. 
Result so far: 109944.641
If we take 829 away from 1440, we end up with 611.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6110, and continue the process.

Step 12:
The number 829 fits into 6110 7 times, leaving a remainder of 307.
Record the quotient 7 as the next digit in the result. 
Result so far: 109944.6417
If we subtract 5803 from 6110, we get 307.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3070, and continue the process.

Going ahead to step 13:
829 goes into 3070 3 times with a remainder of 583.
Put 3 as the next digit of the answer. 
Result so far: 109944.64173
Deduct 2487 from 3070 and we're left with 583.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5830, and continue the process.

Moving on to step 14:
When dividing 5830 by 829, we get 7 with a remainder of 27.
Use 7 as the next digit of our solution. 
Result so far: 109944.641737
If we take 5803 away from 5830, we end up with 27.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

On to step 15:
829 can be fit into 270 0 times, resulting in a remainder of 270.
Record the quotient 0 as the next digit in the result. 
Result so far: 109944.641737
Subtract 0 from 270 to get 270.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2700, and continue the process.

Advancing to step 16:
2700 divided by 829 is 3 with a remainder of 213.
Use 3 as the next digit of our solution. 
Result so far: 109944.64173703
Subtract 2487 from 2700 to get 213.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2130, and continue the process.

After the division, we end up with 109944.64173703 and a remainder of 2.13e-07.