We're dividing 166519 by 71 
We're looking to find how many times 71 goes into 166519.

Moving on to step 1:
When dividing 1 by 71, we get 0 with a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 1 to get 1.
Bring next digit (6) of the dividend behind the 1 and repeat the process: 16 / 71

Going ahead to step 2:
The number 71 fits into 16 0 times, leaving a remainder of 16.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 16 and we're left with 16.
Include the next digit (6) from the dividend after 16, then repeat: 166 / 71

Step 3:
If we divide 166 by 71, we get 2 and a remainder of 24.
The number 2 becomes the next digit in our result. 
Result so far: 2.0
Deduct 142 from 166 and we're left with 24.
Take the next digit (5) from the dividend and append it to 24, then repeat: 245 / 71

Step 4:
When dividing 245 by 71, we get 3 with a remainder of 32.
The next digit of our result is 3. 
Result so far: 23.0
If we subtract 213 from 245, we get 32.
Append the next digit (1) from the dividend to 32 and continue with: 321 / 71

Let's proceed to step 5:
The number 71 fits into 321 4 times, leaving a remainder of 37.
Use 4 as the next digit of our solution. 
Result so far: 234.0
Subtract 284 from 321 to get 37.
Bring next digit (9) of the dividend behind the 37 and repeat the process: 379 / 71

Advancing to step 6:
The number 71 fits into 379 5 times, leaving a remainder of 24.
Record the quotient 5 as the next digit in the result. 
Result so far: 2345.0
The remainder is 24 after subtracting 355 from 379.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Step 7:
240 divided by 71 is 3 with a remainder of 27.
Use 3 as the next digit of our solution. 
Result so far: 2345.3
Subtract 213 from 240 to get 27.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

Let's proceed to step 8:
The number 71 fits into 270 3 times, leaving a remainder of 57.
The next digit of our result is 3. 
Result so far: 2345.33
If we subtract 213 from 270, we get 57.
Since there are no more digits in the dividend, we add a zero to the remainder making it 570, and continue the process.

Our division results in 2345.33 with a remaining 0.057.