525213 ÷ 71 
We want to divide 525213 by 71.

Step 1:
71 can be fit into 5 0 times, resulting in a remainder of 5.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 5 after subtracting 0 from 5.
Include the next digit (2) from the dividend after 5, then repeat: 52 / 71

Step 2:
71 can be fit into 52 0 times, resulting in a remainder of 52.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 52 to get 52.
Grab the next digit (5) from the dividend, add it to 52, then carry on: 525 / 71

Advancing to step 3:
When dividing 525 by 71, we get 7 with a remainder of 28.
Use 7 as the next digit of our solution. 
Result so far: 7.0
Subtracting 497 from 525 leaves us with 28.
Append the next digit (2) from the dividend to 28 and continue with: 282 / 71

Let's proceed to step 4:
When dividing 282 by 71, we get 3 with a remainder of 69.
Record the quotient 3 as the next digit in the result. 
Result so far: 73.0
Deduct 213 from 282 and we're left with 69.
Include the next digit (1) from the dividend after 69, then repeat: 691 / 71

Advancing to step 5:
71 goes into 691 9 times with a remainder of 52.
Use 9 as the next digit of our solution. 
Result so far: 739.0
Subtract 639 from 691 to get 52.
Append the next digit (3) from the dividend to 52 and continue with: 523 / 71

Let's proceed to step 6:
If we divide 523 by 71, we get 7 and a remainder of 26.
Use 7 as the next digit of our solution. 
Result so far: 7397.0
If we subtract 497 from 523, we get 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Advancing to step 7:
71 goes into 260 3 times with a remainder of 47.
Put 3 as the next digit of the answer. 
Result so far: 7397.3
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.

Let's proceed to step 8:
470 divided by 71 is 6 with a remainder of 44.
Record the quotient 6 as the next digit in the result. 
Result so far: 7397.36
If we take 426 away from 470, we end up with 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

Step 9:
71 can be fit into 440 6 times, resulting in a remainder of 14.
Write down 6 as next digit of the result. 
Result so far: 7397.366
Subtracting 426 from 440 leaves us with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

The quotient of the division is 7397.366, and the remainder is 0.0014.