1829 ÷ 80 
We're looking to find how many times 80 goes into 1829.

On to step 1:
80 goes into 1 0 times with a remainder of 1.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 1 and we're left with 1.
Grab the next digit (8) from the dividend, add it to 1, then carry on: 18 / 80

Advancing to step 2:
18 divided by 80 is 0 with a remainder of 18.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 18, we end up with 18.
Bring next digit (2) of the dividend behind the 18 and repeat the process: 182 / 80

Step 3:
If we divide 182 by 80, we get 2 and a remainder of 22.
Write down 2 as next digit of the result. 
Result so far: 2.0
Subtract 160 from 182 to get 22.
Bring next digit (9) of the dividend behind the 22 and repeat the process: 229 / 80

Advancing to step 4:
80 can be fit into 229 2 times, resulting in a remainder of 69.
The number 2 becomes the next digit in our result. 
Result so far: 22.0
If we take 160 away from 229, we end up with 69.
Since there are no more digits in the dividend, we add a zero to the remainder making it 690, and continue the process.

On to step 5:
690 divided by 80 is 8 with a remainder of 50.
Use 8 as the next digit of our solution. 
Result so far: 22.8
The remainder is 50 after subtracting 640 from 690.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Moving on to step 6:
500 divided by 80 is 6 with a remainder of 20.
The number 6 becomes the next digit in our result. 
Result so far: 22.86
Deduct 480 from 500 and we're left with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Advancing to step 7:
When dividing 200 by 80, we get 2 with a remainder of 40.
Write down 2 as next digit of the result. 
Result so far: 22.862
Subtract 160 from 200 to get 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Let's proceed to step 8:
The number 80 fits into 400 5 times, leaving a remainder of 0.
Use 5 as the next digit of our solution. 
Result so far: 22.8625
Subtracting 400 from 400 leaves us with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Step 9:
If we divide 0 by 80, we get 0 and a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 22.8625
Subtract 0 from 0 to get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Step 10:
0 divided by 80 is 0 with a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 22.8625
Deduct 0 from 0 and we're left with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

The quotient of the division is 22.8625, and the remainder is 0.0.