We look at the division of 421269 by 86 
Our goal is to divide 421269 by 86.

On to step 1:
The number 86 fits into 4 0 times, leaving a remainder of 4.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 4 after subtracting 0 from 4.
Fetch the next digit (2) from the dividend, attach it to 4 and continue: 42 / 86

Step 2:
42 divided by 86 is 0 with 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.
Include the next digit (1) from the dividend after 42, then repeat: 421 / 86

Let's proceed to step 3:
The number 86 fits into 421 4 times, leaving a remainder of 77.
Put 4 as the next digit of the answer. 
Result so far: 4.0
Subtracting 344 from 421 leaves us with 77.
Fetch the next digit (2) from the dividend, attach it to 77 and continue: 772 / 86

Moving on to step 4:
When dividing 772 by 86, we get 8 with a remainder of 84.
Put 8 as the next digit of the answer. 
Result so far: 48.0
If we subtract 688 from 772, we get 84.
Take the next digit (6) from the dividend and append it to 84, then repeat: 846 / 86

Going ahead to step 5:
When dividing 846 by 86, we get 9 with a remainder of 72.
Record the quotient 9 as the next digit in the result. 
Result so far: 489.0
Deduct 774 from 846 and we're left with 72.
Append the next digit (9) from the dividend to 72 and continue with: 729 / 86

Going ahead to step 6:
If we divide 729 by 86, we get 8 and a remainder of 41.
Put 8 as the next digit of the answer. 
Result so far: 4898.0
Subtract 688 from 729 to get 41.
Since there are no more digits in the dividend, we add a zero to the remainder making it 410, and continue the process.

Advancing to step 7:
410 divided by 86 is 4 with a remainder of 66.
The number 4 becomes the next digit in our result. 
Result so far: 4898.4
The remainder is 66 after subtracting 344 from 410.
Since there are no more digits in the dividend, we add a zero to the remainder making it 660, and continue the process.

Let's proceed to step 8:
When dividing 660 by 86, we get 7 with a remainder of 58.
Put 7 as the next digit of the answer. 
Result so far: 4898.47
Deduct 602 from 660 and we're left with 58.
Since there are no more digits in the dividend, we add a zero to the remainder making it 580, and continue the process.

On to step 9:
If we divide 580 by 86, we get 6 and a remainder of 64.
The number 6 becomes the next digit in our result. 
Result so far: 4898.476
If we subtract 516 from 580, 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.

Step 10:
86 goes into 640 7 times with a remainder of 38.
Use 7 as the next digit of our solution. 
Result so far: 4898.4767
Deduct 602 from 640 and we're left with 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

On to step 11:
If we divide 380 by 86, we get 4 and a remainder of 36.
Record the quotient 4 as the next digit in the result. 
Result so far: 4898.47674
If we subtract 344 from 380, we get 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Advancing to step 12:
If we divide 360 by 86, we get 4 and a remainder of 16.
The number 4 becomes the next digit in our result. 
Result so far: 4898.476744
Deduct 344 from 360 and we're left with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

The final result is 4898.476744 with a remainder of 1.6e-06.