150781 ÷ 71 
Our goal is to divide 150781 by 71.

Moving on to step 1:
1 divided by 71 is 0 with a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 1, we end up with 1.
Include the next digit (5) from the dividend after 1, then repeat: 15 / 71

Moving on to step 2:
The number 71 fits into 15 0 times, leaving a remainder of 15.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 15 after subtracting 0 from 15.
Bring next digit (0) of the dividend behind the 15 and repeat the process: 150 / 71

Advancing to step 3:
If we divide 150 by 71, we get 2 and a remainder of 8.
The number 2 becomes the next digit in our result. 
Result so far: 2.0
If we subtract 142 from 150, we get 8.
Grab the next digit (7) from the dividend, add it to 8, then carry on: 87 / 71

Step 4:
71 can be fit into 87 1 times, resulting in a remainder of 16.
The next digit of our result is 1. 
Result so far: 21.0
Subtract 71 from 87 to get 16.
Fetch the next digit (8) from the dividend, attach it to 16 and continue: 168 / 71

On to step 5:
168 divided by 71 is 2 with a remainder of 26.
Use 2 as the next digit of our solution. 
Result so far: 212.0
Deduct 142 from 168 and we're left with 26.
Fetch the next digit (1) from the dividend, attach it to 26 and continue: 261 / 71

Moving on to step 6:
The number 71 fits into 261 3 times, leaving a remainder of 48.
Record the quotient 3 as the next digit in the result. 
Result so far: 2123.0
If we take 213 away from 261, we end up with 48.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

Going ahead to step 7:
71 can be fit into 480 6 times, resulting in a remainder of 54.
The number 6 becomes the next digit in our result. 
Result so far: 2123.6
Subtract 426 from 480 to get 54.
Since there are no more digits in the dividend, we add a zero to the remainder making it 540, and continue the process.

Moving on to step 8:
540 divided by 71 is 7 with a remainder of 43.
Record the quotient 7 as the next digit in the result. 
Result so far: 2123.67
The remainder is 43 after subtracting 497 from 540.
Since there are no more digits in the dividend, we add a zero to the remainder making it 430, and continue the process.

Going ahead to step 9:
When dividing 430 by 71, we get 6 with a remainder of 4.
The number 6 becomes the next digit in our result. 
Result so far: 2123.676
Deduct 426 from 430 and we're left with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Let's proceed to step 10:
The number 71 fits into 40 0 times, leaving a remainder of 40.
Put 0 as the next digit of the answer. 
Result so far: 2123.676
Subtracting 0 from 40 leaves us with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Let's proceed to step 11:
71 goes into 400 5 times with a remainder of 45.
Write down 5 as next digit of the result. 
Result so far: 2123.67605
If we subtract 355 from 400, we get 45.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

Step 12:
When dividing 450 by 71, we get 6 with a remainder of 24.
The next digit of our result is 6. 
Result so far: 2123.676056
The remainder is 24 after subtracting 426 from 450.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Advancing to step 13:
When dividing 240 by 71, we get 3 with a remainder of 27.
The number 3 becomes the next digit in our result. 
Result so far: 2123.6760563
Deduct 213 from 240 and we're left with 27.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

Advancing to step 14:
If we divide 270 by 71, we get 3 and a remainder of 57.
Use 3 as the next digit of our solution. 
Result so far: 2123.67605633
Subtracting 213 from 270 leaves us with 57.
Since there are no more digits in the dividend, we add a zero to the remainder making it 570, and continue the process.

Our division results in 2123.67605633 with a remaining 5.7e-08.