79159 ÷ 45 
We want to divide 79159 by 45.

Moving on to step 1:
If we divide 7 by 45, we get 0 and a remainder of 7.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 7, we end up with 7.
Fetch the next digit (9) from the dividend, attach it to 7 and continue: 79 / 45

On to step 2:
45 can be fit into 79 1 times, resulting in a remainder of 34.
Put 1 as the next digit of the answer. 
Result so far: 1.0
If we subtract 45 from 79, we get 34.
Append the next digit (1) from the dividend to 34 and continue with: 341 / 45

Step 3:
If we divide 341 by 45, we get 7 and a remainder of 26.
Write down 7 as next digit of the result. 
Result so far: 17.0
Deduct 315 from 341 and we're left with 26.
Fetch the next digit (5) from the dividend, attach it to 26 and continue: 265 / 45

Going ahead to step 4:
If we divide 265 by 45, we get 5 and a remainder of 40.
Put 5 as the next digit of the answer. 
Result so far: 175.0
Subtracting 225 from 265 leaves us with 40.
Bring next digit (9) of the dividend behind the 40 and repeat the process: 409 / 45

On to step 5:
45 can be fit into 409 9 times, resulting in a remainder of 4.
Use 9 as the next digit of our solution. 
Result so far: 1759.0
If we take 405 away from 409, we end up 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.

Going ahead to step 6:
45 goes into 40 0 times with a remainder of 40.
The number 0 becomes the next digit in our result. 
Result so far: 1759.0
If we take 0 away from 40, we end up with 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 7:
45 can be fit into 400 8 times, resulting in a remainder of 40.
The number 8 becomes the next digit in our result. 
Result so far: 1759.08
Subtracting 360 from 400 leaves us with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

On to step 8:
400 divided by 45 is 8 with a remainder of 40.
Use 8 as the next digit of our solution. 
Result so far: 1759.088
Subtract 360 from 400 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.

Our division results in 1759.088 with a remaining 0.004.