145171 ÷ 74 
We're looking to find how many times 74 goes into 145171.

On to step 1:
The number 74 fits into 1 0 times, leaving a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 1 leaves us with 1.
Fetch the next digit (4) from the dividend, attach it to 1 and continue: 14 / 74

Going ahead to step 2:
74 goes into 14 0 times with a remainder of 14.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 14, we get 14.
Bring next digit (5) of the dividend behind the 14 and repeat the process: 145 / 74

Let's proceed to step 3:
When dividing 145 by 74, we get 1 with a remainder of 71.
Put 1 as the next digit of the answer. 
Result so far: 1.0
If we subtract 74 from 145, we get 71.
Include the next digit (1) from the dividend after 71, then repeat: 711 / 74

Advancing to step 4:
74 can be fit into 711 9 times, resulting in a remainder of 45.
The number 9 becomes the next digit in our result. 
Result so far: 19.0
The remainder is 45 after subtracting 666 from 711.
Include the next digit (7) from the dividend after 45, then repeat: 457 / 74

Advancing to step 5:
74 goes into 457 6 times with a remainder of 13.
Put 6 as the next digit of the answer. 
Result so far: 196.0
Deduct 444 from 457 and we're left with 13.
Take the next digit (1) from the dividend and append it to 13, then repeat: 131 / 74

Step 6:
The number 74 fits into 131 1 times, leaving a remainder of 57.
Use 1 as the next digit of our solution. 
Result so far: 1961.0
If we take 74 away from 131, we end up with 57.
Since there are no more digits in the dividend, we add a zero to the remainder making it 570, and continue the process.

Advancing to step 7:
When dividing 570 by 74, we get 7 with a remainder of 52.
Put 7 as the next digit of the answer. 
Result so far: 1961.7
Deduct 518 from 570 and we're left with 52.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

Step 8:
74 goes into 520 7 times with a remainder of 2.
Use 7 as the next digit of our solution. 
Result so far: 1961.77
If we take 518 away from 520, we end up with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

The final result is 1961.77 with a remainder of 0.002.