We're dividing 150638 by 71 
We're looking to find how many times 71 goes into 150638.

Going ahead to step 1:
If we divide 1 by 71, we get 0 and a remainder of 1.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 1 to get 1.
Grab the next digit (5) from the dividend, add it to 1, then carry on: 15 / 71

Step 2:
71 can be fit into 15 0 times, resulting in a remainder of 15.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 15 and we're left with 15.
Bring next digit (0) of the dividend behind the 15 and repeat the process: 150 / 71

Advancing to step 3:
The number 71 fits into 150 2 times, leaving a remainder of 8.
Write down 2 as next digit of the result. 
Result so far: 2.0
Subtract 142 from 150 to get 8.
Fetch the next digit (6) from the dividend, attach it to 8 and continue: 86 / 71

Step 4:
When dividing 86 by 71, we get 1 with a remainder of 15.
Put 1 as the next digit of the answer. 
Result so far: 21.0
If we subtract 71 from 86, we get 15.
Bring next digit (3) of the dividend behind the 15 and repeat the process: 153 / 71

Let's proceed to step 5:
71 can be fit into 153 2 times, resulting in a remainder of 11.
Put 2 as the next digit of the answer. 
Result so far: 212.0
If we take 142 away from 153, we end up with 11.
Grab the next digit (8) from the dividend, add it to 11, then carry on: 118 / 71

Moving on to step 6:
The number 71 fits into 118 1 times, leaving a remainder of 47.
The next digit of our result is 1. 
Result so far: 2121.0
Deduct 71 from 118 and we're left with 47.
Since there are no more digits in the dividend, we add a zero to the remainder making it 470, and continue the process.

Advancing to step 7:
470 divided by 71 is 6 with a remainder of 44.
The next digit of our result is 6. 
Result so far: 2121.6
Subtract 426 from 470 to get 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

Step 8:
The number 71 fits into 440 6 times, leaving a remainder of 14.
Write down 6 as next digit of the result. 
Result so far: 2121.66
If we take 426 away from 440, we end up with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

The quotient of the division is 2121.66, and the remainder is 0.014.