133641 ÷ 71 
Our goal is to divide 133641 by 71.

Going ahead to step 1:
1 divided by 71 is 0 with a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 1 after subtracting 0 from 1.
Append the next digit (3) from the dividend to 1 and continue with: 13 / 71

Step 2:
13 divided by 71 is 0 with a remainder of 13.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 13 to get 13.
Append the next digit (3) from the dividend to 13 and continue with: 133 / 71

Moving on to step 3:
71 can be fit into 133 1 times, resulting in a remainder of 62.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
The remainder is 62 after subtracting 71 from 133.
Take the next digit (6) from the dividend and append it to 62, then repeat: 626 / 71

Advancing to step 4:
71 goes into 626 8 times with a remainder of 58.
Use 8 as the next digit of our solution. 
Result so far: 18.0
The remainder is 58 after subtracting 568 from 626.
Grab the next digit (4) from the dividend, add it to 58, then carry on: 584 / 71

Let's proceed to step 5:
71 goes into 584 8 times with a remainder of 16.
Use 8 as the next digit of our solution. 
Result so far: 188.0
The remainder is 16 after subtracting 568 from 584.
Take the next digit (1) from the dividend and append it to 16, then repeat: 161 / 71

Going ahead to step 6:
The number 71 fits into 161 2 times, leaving a remainder of 19.
Write down 2 as next digit of the result. 
Result so far: 1882.0
Deduct 142 from 161 and we're left with 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Advancing to step 7:
If we divide 190 by 71, we get 2 and a remainder of 48.
Write down 2 as next digit of the result. 
Result so far: 1882.2
If we take 142 away from 190, 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.

Step 8:
480 divided by 71 is 6 with a remainder of 54.
Use 6 as the next digit of our solution. 
Result so far: 1882.26
The remainder is 54 after subtracting 426 from 480.
Since there are no more digits in the dividend, we add a zero to the remainder making it 540, and continue the process.

Advancing to step 9:
If we divide 540 by 71, we get 7 and a remainder of 43.
Put 7 as the next digit of the answer. 
Result so far: 1882.267
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.

On to step 10:
71 goes into 430 6 times with a remainder of 4.
Record the quotient 6 as the next digit in the result. 
Result so far: 1882.2676
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.

On to step 11:
71 can be fit into 40 0 times, resulting in a remainder of 40.
Write down 0 as next digit of the result. 
Result so far: 1882.2676
If we subtract 0 from 40, we get 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 12:
71 goes into 400 5 times with a remainder of 45.
Write down 5 as next digit of the result. 
Result so far: 1882.267605
If we take 355 away from 400, we end up with 45.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

Let's proceed to step 13:
If we divide 450 by 71, we get 6 and a remainder of 24.
Write down 6 as next digit of the result. 
Result so far: 1882.2676056
Subtract 426 from 450 to get 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Let's proceed to step 14:
The number 71 fits into 240 3 times, leaving a remainder of 27.
Write down 3 as next digit of the result. 
Result so far: 1882.26760563
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.

After the division, we end up with 1882.26760563 and a remainder of 2.7e-08.