Let's divide 171316 by 45
We want to figure out the number of times 171316 can be divided by 45.

Let's proceed to step 1:
45 can be fit into 1 0 times, resulting in a remainder of 1.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 1 after subtracting 0 from 1.
Append the next digit (7) from the dividend to 1 and continue with: 17 / 45

Advancing to step 2:
45 goes into 17 0 times with a remainder of 17.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 17 leaves us with 17.
Bring next digit (1) of the dividend behind the 17 and repeat the process: 171 / 45

Let's proceed to step 3:
171 divided by 45 is 3 with a remainder of 36.
Record the quotient 3 as the next digit in the result. 
Result so far: 3.0
If we subtract 135 from 171, we get 36.
Fetch the next digit (3) from the dividend, attach it to 36 and continue: 363 / 45

Going ahead to step 4:
When dividing 363 by 45, we get 8 with a remainder of 3.
Record the quotient 8 as the next digit in the result. 
Result so far: 38.0
Subtracting 360 from 363 leaves us with 3.
Append the next digit (1) from the dividend to 3 and continue with: 31 / 45

Step 5:
45 goes into 31 0 times with a remainder of 31.
Use 0 as the next digit of our solution. 
Result so far: 380.0
Subtracting 0 from 31 leaves us with 31.
Grab the next digit (6) from the dividend, add it to 31, then carry on: 316 / 45

Moving on to step 6:
When dividing 316 by 45, we get 7 with a remainder of 1.
Use 7 as the next digit of our solution. 
Result so far: 3807.0
If we subtract 315 from 316, we get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

On to step 7:
10 divided by 45 is 0 with a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 3807.0
The remainder is 10 after subtracting 0 from 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Advancing to step 8:
100 divided by 45 is 2 with a remainder of 10.
Put 2 as the next digit of the answer. 
Result so far: 3807.02
The remainder is 10 after subtracting 90 from 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Advancing to step 9:
45 can be fit into 100 2 times, resulting in a remainder of 10.
Use 2 as the next digit of our solution. 
Result so far: 3807.022
If we subtract 90 from 100, we get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

In conclusion, the division gives 3807.022 with a balance of 0.001.