553866 ÷ 71 
Our goal is to divide 553866 by 71.

Step 1:
The number 71 fits into 5 0 times, leaving a remainder of 5.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 5 after subtracting 0 from 5.
Include the next digit (5) from the dividend after 5, then repeat: 55 / 71

Advancing to step 2:
If we divide 55 by 71, we get 0 and a remainder of 55.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 55 after subtracting 0 from 55.
Grab the next digit (3) from the dividend, add it to 55, then carry on: 553 / 71

Going ahead to step 3:
71 can be fit into 553 7 times, resulting in a remainder of 56.
Record the quotient 7 as the next digit in the result. 
Result so far: 7.0
Subtract 497 from 553 to get 56.
Fetch the next digit (8) from the dividend, attach it to 56 and continue: 568 / 71

Moving on to step 4:
If we divide 568 by 71, we get 8 and a remainder of 0.
Put 8 as the next digit of the answer. 
Result so far: 78.0
The remainder is 0 after subtracting 568 from 568.
Grab the next digit (6) from the dividend, add it to 0, then carry on: 6 / 71

On to step 5:
6 divided by 71 is 0 with a remainder of 6.
Record the quotient 0 as the next digit in the result. 
Result so far: 780.0
If we take 0 away from 6, we end up with 6.
Grab the next digit (6) from the dividend, add it to 6, then carry on: 66 / 71

Advancing to step 6:
When dividing 66 by 71, we get 0 with a remainder of 66.
Use 0 as the next digit of our solution. 
Result so far: 7800.0
If we take 0 away from 66, we end up with 66.
Since there are no more digits in the dividend, we add a zero to the remainder making it 660, and continue the process.

Advancing to step 7:
71 goes into 660 9 times with a remainder of 21.
Use 9 as the next digit of our solution. 
Result so far: 7800.9
If we take 639 away from 660, we end up with 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Advancing to step 8:
If we divide 210 by 71, we get 2 and a remainder of 68.
The number 2 becomes the next digit in our result. 
Result so far: 7800.92
The remainder is 68 after subtracting 142 from 210.
Since there are no more digits in the dividend, we add a zero to the remainder making it 680, and continue the process.

Step 9:
If we divide 680 by 71, we get 9 and a remainder of 41.
Write down 9 as next digit of the result. 
Result so far: 7800.929
The remainder is 41 after subtracting 639 from 680.
Since there are no more digits in the dividend, we add a zero to the remainder making it 410, and continue the process.

Step 10:
71 goes into 410 5 times with a remainder of 55.
The number 5 becomes the next digit in our result. 
Result so far: 7800.9295
The remainder is 55 after subtracting 355 from 410.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

On to step 11:
If we divide 550 by 71, we get 7 and a remainder of 53.
Record the quotient 7 as the next digit in the result. 
Result so far: 7800.92957
If we subtract 497 from 550, we get 53.
Since there are no more digits in the dividend, we add a zero to the remainder making it 530, and continue the process.

On to step 12:
71 can be fit into 530 7 times, resulting in a remainder of 33.
Record the quotient 7 as the next digit in the result. 
Result so far: 7800.929577
Subtract 497 from 530 to get 33.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

The final result is 7800.929577 with a remainder of 3.3e-06.