Let's divide 654617 by 71
Our goal is to divide 654617 by 71.

Step 1:
When dividing 6 by 71, we get 0 with a remainder of 6.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 6 after subtracting 0 from 6.
Take the next digit (5) from the dividend and append it to 6, then repeat: 65 / 71

Step 2:
If we divide 65 by 71, we get 0 and a remainder of 65.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 65 to get 65.
Grab the next digit (4) from the dividend, add it to 65, then carry on: 654 / 71

Advancing to step 3:
654 divided by 71 is 9 with a remainder of 15.
The number 9 becomes the next digit in our result. 
Result so far: 9.0
If we take 639 away from 654, we end up with 15.
Fetch the next digit (6) from the dividend, attach it to 15 and continue: 156 / 71

On to step 4:
The number 71 fits into 156 2 times, leaving a remainder of 14.
The number 2 becomes the next digit in our result. 
Result so far: 92.0
Subtract 142 from 156 to get 14.
Bring next digit (1) of the dividend behind the 14 and repeat the process: 141 / 71

Let's proceed to step 5:
When dividing 141 by 71, we get 1 with a remainder of 70.
The next digit of our result is 1. 
Result so far: 921.0
The remainder is 70 after subtracting 71 from 141.
Append the next digit (7) from the dividend to 70 and continue with: 707 / 71

Going ahead to step 6:
If we divide 707 by 71, we get 9 and a remainder of 68.
Put 9 as the next digit of the answer. 
Result so far: 9219.0
If we subtract 639 from 707, we get 68.
Since there are no more digits in the dividend, we add a zero to the remainder making it 680, and continue the process.

Going ahead to step 7:
71 goes into 680 9 times with a remainder of 41.
The next digit of our result is 9. 
Result so far: 9219.9
Subtract 639 from 680 to get 41.
Since there are no more digits in the dividend, we add a zero to the remainder making it 410, and continue the process.

Going ahead to step 8:
If we divide 410 by 71, we get 5 and a remainder of 55.
Put 5 as the next digit of the answer. 
Result so far: 9219.95
If we subtract 355 from 410, we get 55.
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 9:
The number 71 fits into 550 7 times, leaving a remainder of 53.
Record the quotient 7 as the next digit in the result. 
Result so far: 9219.957
The remainder is 53 after subtracting 497 from 550.
Since there are no more digits in the dividend, we add a zero to the remainder making it 530, and continue the process.

Advancing to step 10:
When dividing 530 by 71, we get 7 with a remainder of 33.
Put 7 as the next digit of the answer. 
Result so far: 9219.9577
Subtracting 497 from 530 leaves us with 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 outcome is 9219.9577, with a leftover of 0.00033.