Let's divide 421326 by 71
We want to divide 421326 by 71.

Going ahead to step 1:
71 goes into 4 0 times with a remainder of 4.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 4 leaves us with 4.
Fetch the next digit (2) from the dividend, attach it to 4 and continue: 42 / 71

Advancing to step 2:
If we divide 42 by 71, we get 0 and a remainder of 42.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 42, we get 42.
Take the next digit (1) from the dividend and append it to 42, then repeat: 421 / 71

Going ahead to step 3:
421 divided by 71 is 5 with a remainder of 66.
Write down 5 as next digit of the result. 
Result so far: 5.0
The remainder is 66 after subtracting 355 from 421.
Grab the next digit (3) from the dividend, add it to 66, then carry on: 663 / 71

Advancing to step 4:
The number 71 fits into 663 9 times, leaving a remainder of 24.
Write down 9 as next digit of the result. 
Result so far: 59.0
If we take 639 away from 663, we end up with 24.
Include the next digit (2) from the dividend after 24, then repeat: 242 / 71

Step 5:
71 can be fit into 242 3 times, resulting in a remainder of 29.
The next digit of our result is 3. 
Result so far: 593.0
If we subtract 213 from 242, we get 29.
Fetch the next digit (6) from the dividend, attach it to 29 and continue: 296 / 71

Step 6:
71 goes into 296 4 times with a remainder of 12.
The number 4 becomes the next digit in our result. 
Result so far: 5934.0
Subtracting 284 from 296 leaves us with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Step 7:
If we divide 120 by 71, we get 1 and a remainder of 49.
The next digit of our result is 1. 
Result so far: 5934.1
If we take 71 away from 120, we end up with 49.
Since there are no more digits in the dividend, we add a zero to the remainder making it 490, and continue the process.

Moving on to step 8:
When dividing 490 by 71, we get 6 with a remainder of 64.
Put 6 as the next digit of the answer. 
Result so far: 5934.16
If we subtract 426 from 490, we get 64.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

On to step 9:
640 divided by 71 is 9 with a remainder of 1.
Write down 9 as next digit of the result. 
Result so far: 5934.169
Deduct 639 from 640 and we're left with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Moving on to step 10:
When dividing 10 by 71, we get 0 with a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 5934.169
If we take 0 away from 10, we end up with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Let's proceed to step 11:
When dividing 100 by 71, we get 1 with a remainder of 29.
Record the quotient 1 as the next digit in the result. 
Result so far: 5934.16901
If we take 71 away from 100, we end up with 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

Let's proceed to step 12:
If we divide 290 by 71, we get 4 and a remainder of 6.
The next digit of our result is 4. 
Result so far: 5934.169014
The remainder is 6 after subtracting 284 from 290.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Let's proceed to step 13:
When dividing 60 by 71, we get 0 with a remainder of 60.
The number 0 becomes the next digit in our result. 
Result so far: 5934.169014
If we take 0 away from 60, we end up with 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

Going ahead to step 14:
600 divided by 71 is 8 with a remainder of 32.
Record the quotient 8 as the next digit in the result. 
Result so far: 5934.16901408
If we take 568 away from 600, we end up with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

After the division, we end up with 5934.16901408 and a remainder of 3.2e-08.