613354 divided by 71 
Our goal is to divide 613354 by 71.

Step 1:
If we divide 6 by 71, we get 0 and a remainder of 6.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 6 after subtracting 0 from 6.
Include the next digit (1) from the dividend after 6, then repeat: 61 / 71

Advancing to step 2:
If we divide 61 by 71, we get 0 and a remainder of 61.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 61 to get 61.
Fetch the next digit (3) from the dividend, attach it to 61 and continue: 613 / 71

Let's proceed to step 3:
When dividing 613 by 71, we get 8 with a remainder of 45.
The next digit of our result is 8. 
Result so far: 8.0
The remainder is 45 after subtracting 568 from 613.
Grab the next digit (3) from the dividend, add it to 45, then carry on: 453 / 71

On to step 4:
453 divided by 71 is 6 with a remainder of 27.
Record the quotient 6 as the next digit in the result. 
Result so far: 86.0
Deduct 426 from 453 and we're left with 27.
Take the next digit (5) from the dividend and append it to 27, then repeat: 275 / 71

Let's proceed to step 5:
275 divided by 71 is 3 with a remainder of 62.
Put 3 as the next digit of the answer. 
Result so far: 863.0
The remainder is 62 after subtracting 213 from 275.
Fetch the next digit (4) from the dividend, attach it to 62 and continue: 624 / 71

Advancing to step 6:
624 divided by 71 is 8 with a remainder of 56.
Put 8 as the next digit of the answer. 
Result so far: 8638.0
Deduct 568 from 624 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.

Moving on to step 7:
71 goes into 560 7 times with a remainder of 63.
The number 7 becomes the next digit in our result. 
Result so far: 8638.7
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.

Moving on to step 8:
When dividing 630 by 71, we get 8 with a remainder of 62.
Write down 8 as next digit of the result. 
Result so far: 8638.78
If we subtract 568 from 630, we get 62.
Since there are no more digits in the dividend, we add a zero to the remainder making it 620, and continue the process.

Let's proceed to step 9:
When dividing 620 by 71, we get 8 with a remainder of 52.
The number 8 becomes the next digit in our result. 
Result so far: 8638.788
If we subtract 568 from 620, we 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 8638.788, and the remainder is 0.0052.