Let's divide 87001 by 71
We want to figure out the number of times 87001 can be divided by 71.

On to step 1:
When dividing 8 by 71, we get 0 with a remainder of 8.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 8, we get 8.
Bring next digit (7) of the dividend behind the 8 and repeat the process: 87 / 71

Moving on to step 2:
When dividing 87 by 71, we get 1 with a remainder of 16.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
The remainder is 16 after subtracting 71 from 87.
Bring next digit (0) of the dividend behind the 16 and repeat the process: 160 / 71

Let's proceed to step 3:
71 goes into 160 2 times with a remainder of 18.
Put 2 as the next digit of the answer. 
Result so far: 12.0
If we subtract 142 from 160, we get 18.
Include the next digit (0) from the dividend after 18, then repeat: 180 / 71

Step 4:
71 goes into 180 2 times with a remainder of 38.
Put 2 as the next digit of the answer. 
Result so far: 122.0
The remainder is 38 after subtracting 142 from 180.
Include the next digit (1) from the dividend after 38, then repeat: 381 / 71

Let's proceed to step 5:
When dividing 381 by 71, we get 5 with a remainder of 26.
Record the quotient 5 as the next digit in the result. 
Result so far: 1225.0
If we take 355 away from 381, we end up with 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Let's proceed to step 6:
If we divide 260 by 71, we get 3 and a remainder of 47.
Use 3 as the next digit of our solution. 
Result so far: 1225.3
If we take 213 away from 260, we end up with 47.
Since there are no more digits in the dividend, we add a zero to the remainder making it 470, and continue the process.

On to step 7:
When dividing 470 by 71, we get 6 with a remainder of 44.
Write down 6 as next digit of the result. 
Result so far: 1225.36
Subtract 426 from 470 to get 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

On to step 8:
71 goes into 440 6 times with a remainder of 14.
Record the quotient 6 as the next digit in the result. 
Result so far: 1225.366
Subtract 426 from 440 to get 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Our division results in 1225.366 with a remaining 0.0014.