We look at the division of 111254 by 71 
We want to divide 111254 by 71.

Going ahead to step 1:
71 goes into 1 0 times with a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 1, we get 1.
Grab the next digit (1) from the dividend, add it to 1, then carry on: 11 / 71

On to step 2:
If we divide 11 by 71, we get 0 and a remainder of 11.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 11, we end up with 11.
Take the next digit (1) from the dividend and append it to 11, then repeat: 111 / 71

Let's proceed to step 3:
When dividing 111 by 71, we get 1 with a remainder of 40.
Use 1 as the next digit of our solution. 
Result so far: 1.0
Deduct 71 from 111 and we're left with 40.
Take the next digit (2) from the dividend and append it to 40, then repeat: 402 / 71

Step 4:
71 goes into 402 5 times with a remainder of 47.
Write down 5 as next digit of the result. 
Result so far: 15.0
Deduct 355 from 402 and we're left with 47.
Take the next digit (5) from the dividend and append it to 47, then repeat: 475 / 71

Step 5:
The number 71 fits into 475 6 times, leaving a remainder of 49.
Write down 6 as next digit of the result. 
Result so far: 156.0
If we subtract 426 from 475, we get 49.
Grab the next digit (4) from the dividend, add it to 49, then carry on: 494 / 71

Moving on to step 6:
When dividing 494 by 71, we get 6 with a remainder of 68.
Record the quotient 6 as the next digit in the result. 
Result so far: 1566.0
If we subtract 426 from 494, 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.

On to step 7:
71 goes into 680 9 times with a remainder of 41.
The number 9 becomes the next digit in our result. 
Result so far: 1566.9
If we take 639 away from 680, we end up with 41.
Since there are no more digits in the dividend, we add a zero to the remainder making it 410, and continue the process.

Step 8:
When dividing 410 by 71, we get 5 with a remainder of 55.
Record the quotient 5 as the next digit in the result. 
Result so far: 1566.95
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.

Moving on to step 9:
The number 71 fits into 550 7 times, leaving a remainder of 53.
Put 7 as the next digit of the answer. 
Result so far: 1566.957
Subtracting 497 from 550 leaves us with 53.
Since there are no more digits in the dividend, we add a zero to the remainder making it 530, and continue the process.

Going ahead to step 10:
71 goes into 530 7 times with a remainder of 33.
The next digit of our result is 7. 
Result so far: 1566.9577
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 quotient of the division is 1566.9577, and the remainder is 0.00033.