We look at the division of 134742 by 71 
We want to divide 134742 by 71.

Step 1:
If we divide 1 by 71, we get 0 and a remainder of 1.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 1, we end up with 1.
Bring next digit (3) of the dividend behind the 1 and repeat the process: 13 / 71

Going ahead to step 2:
If we divide 13 by 71, we get 0 and a remainder of 13.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 13, we end up with 13.
Include the next digit (4) from the dividend after 13, then repeat: 134 / 71

On to step 3:
71 can be fit into 134 1 times, resulting in a remainder of 63.
The next digit of our result is 1. 
Result so far: 1.0
If we subtract 71 from 134, we get 63.
Take the next digit (7) from the dividend and append it to 63, then repeat: 637 / 71

Advancing to step 4:
If we divide 637 by 71, we get 8 and a remainder of 69.
The number 8 becomes the next digit in our result. 
Result so far: 18.0
Deduct 568 from 637 and we're left with 69.
Grab the next digit (4) from the dividend, add it to 69, then carry on: 694 / 71

Advancing to step 5:
71 can be fit into 694 9 times, resulting in a remainder of 55.
Put 9 as the next digit of the answer. 
Result so far: 189.0
Subtract 639 from 694 to get 55.
Bring next digit (2) of the dividend behind the 55 and repeat the process: 552 / 71

Let's proceed to step 6:
The number 71 fits into 552 7 times, leaving a remainder of 55.
The number 7 becomes the next digit in our result. 
Result so far: 1897.0
If we subtract 497 from 552, 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.

Let's proceed to step 7:
When dividing 550 by 71, we get 7 with a remainder of 53.
The number 7 becomes the next digit in our result. 
Result so far: 1897.7
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.

Advancing to step 8:
When dividing 530 by 71, we get 7 with a remainder of 33.
Record the quotient 7 as the next digit in the result. 
Result so far: 1897.77
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 quotient of the division is 1897.77, and the remainder is 0.033.