Let's divide 110829 by 7
We're looking to find how many times 7 goes into 110829.

On to step 1:
The number 7 fits into 1 0 times, leaving 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.
Append the next digit (1) from the dividend to 1 and continue with: 11 / 7

On to step 2:
If we divide 11 by 7, we get 1 and a remainder of 4.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
If we take 7 away from 11, we end up with 4.
Fetch the next digit (0) from the dividend, attach it to 4 and continue: 40 / 7

Advancing to step 3:
If we divide 40 by 7, we get 5 and a remainder of 5.
Record the quotient 5 as the next digit in the result. 
Result so far: 15.0
Subtracting 35 from 40 leaves us with 5.
Append the next digit (8) from the dividend to 5 and continue with: 58 / 7

Let's proceed to step 4:
The number 7 fits into 58 8 times, leaving a remainder of 2.
The next digit of our result is 8. 
Result so far: 158.0
If we take 56 away from 58, we end up with 2.
Include the next digit (2) from the dividend after 2, then repeat: 22 / 7

Let's proceed to step 5:
The number 7 fits into 22 3 times, leaving a remainder of 1.
The next digit of our result is 3. 
Result so far: 1583.0
Subtracting 21 from 22 leaves us with 1.
Grab the next digit (9) from the dividend, add it to 1, then carry on: 19 / 7

Advancing to step 6:
7 goes into 19 2 times with a remainder of 5.
The next digit of our result is 2. 
Result so far: 15832.0
The remainder is 5 after subtracting 14 from 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Going ahead to step 7:
7 can be fit into 50 7 times, resulting in a remainder of 1.
Put 7 as the next digit of the answer. 
Result so far: 15832.7
Subtracting 49 from 50 leaves us 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.

Advancing to step 8:
7 can be fit into 10 1 times, resulting in a remainder of 3.
Put 1 as the next digit of the answer. 
Result so far: 15832.71
If we subtract 7 from 10, we get 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Advancing to step 9:
30 divided by 7 is 4 with a remainder of 2.
Use 4 as the next digit of our solution. 
Result so far: 15832.714
If we subtract 28 from 30, we get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Going ahead to step 10:
7 goes into 20 2 times with a remainder of 6.
Write down 2 as next digit of the result. 
Result so far: 15832.7142
The remainder is 6 after subtracting 14 from 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Advancing to step 11:
The number 7 fits into 60 8 times, leaving a remainder of 4.
Write down 8 as next digit of the result. 
Result so far: 15832.71428
Subtract 56 from 60 to get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Let's proceed to step 12:
If we divide 40 by 7, we get 5 and a remainder of 5.
The next digit of our result is 5. 
Result so far: 15832.714285
If we take 35 away from 40, we end up with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Step 13:
7 can be fit into 50 7 times, resulting in a remainder of 1.
Use 7 as the next digit of our solution. 
Result so far: 15832.7142857
The remainder is 1 after subtracting 49 from 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Let's proceed to step 14:
10 divided by 7 is 1 with a remainder of 3.
Write down 1 as next digit of the result. 
Result so far: 15832.71428571
If we take 7 away from 10, we end up with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

The final outcome is 15832.71428571, with a leftover of 3e-09.