Let's divide 165606 by 71
We want to figure out the number of times 165606 can be divided by 71.

Let's proceed to step 1:
1 divided by 71 is 0 with a remainder of 1.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 1 to get 1.
Include the next digit (6) from the dividend after 1, then repeat: 16 / 71

Moving on to step 2:
16 divided by 71 is 0 with a remainder of 16.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 16, we get 16.
Append the next digit (5) from the dividend to 16 and continue with: 165 / 71

Moving on to step 3:
When dividing 165 by 71, we get 2 with a remainder of 23.
Write down 2 as next digit of the result. 
Result so far: 2.0
Deduct 142 from 165 and we're left with 23.
Grab the next digit (6) from the dividend, add it to 23, then carry on: 236 / 71

On to step 4:
71 can be fit into 236 3 times, resulting in a remainder of 23.
Write down 3 as next digit of the result. 
Result so far: 23.0
Subtracting 213 from 236 leaves us with 23.
Include the next digit (0) from the dividend after 23, then repeat: 230 / 71

Step 5:
The number 71 fits into 230 3 times, leaving a remainder of 17.
Record the quotient 3 as the next digit in the result. 
Result so far: 233.0
If we take 213 away from 230, we end up with 17.
Append the next digit (6) from the dividend to 17 and continue with: 176 / 71

Advancing to step 6:
176 divided by 71 is 2 with a remainder of 34.
Write down 2 as next digit of the result. 
Result so far: 2332.0
Deduct 142 from 176 and we're left with 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Moving on to step 7:
71 goes into 340 4 times with a remainder of 56.
The next digit of our result is 4. 
Result so far: 2332.4
Deduct 284 from 340 and we're left with 56.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

Let's proceed to step 8:
The number 71 fits into 560 7 times, leaving a remainder of 63.
The next digit of our result is 7. 
Result so far: 2332.47
The remainder is 63 after subtracting 497 from 560.
Since there are no more digits in the dividend, we add a zero to the remainder making it 630, and continue the process.

Step 9:
71 goes into 630 8 times with a remainder of 62.
Record the quotient 8 as the next digit in the result. 
Result so far: 2332.478
The remainder is 62 after subtracting 568 from 630.
Since there are no more digits in the dividend, we add a zero to the remainder making it 620, and continue the process.

Step 10:
620 divided by 71 is 8 with a remainder of 52.
Use 8 as the next digit of our solution. 
Result so far: 2332.4788
Subtract 568 from 620 to get 52.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

The quotient of the division is 2332.4788, and the remainder is 0.00052.