We look at the division of 38421 by 68 
Let's see how many times 68 fits into 38421.

Let's proceed to step 1:
When dividing 3 by 68, we get 0 with a remainder of 3.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 3 after subtracting 0 from 3.
Take the next digit (8) from the dividend and append it to 3, then repeat: 38 / 68

Let's proceed to step 2:
38 divided by 68 is 0 with a remainder of 38.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 38 after subtracting 0 from 38.
Grab the next digit (4) from the dividend, add it to 38, then carry on: 384 / 68

Moving on to step 3:
The number 68 fits into 384 5 times, leaving a remainder of 44.
The next digit of our result is 5. 
Result so far: 5.0
Deduct 340 from 384 and we're left with 44.
Fetch the next digit (2) from the dividend, attach it to 44 and continue: 442 / 68

Going ahead to step 4:
When dividing 442 by 68, we get 6 with a remainder of 34.
Write down 6 as next digit of the result. 
Result so far: 56.0
If we subtract 408 from 442, we get 34.
Bring next digit (1) of the dividend behind the 34 and repeat the process: 341 / 68

Step 5:
If we divide 341 by 68, we get 5 and a remainder of 1.
The number 5 becomes the next digit in our result. 
Result so far: 565.0
Subtract 340 from 341 to get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

On to step 6:
The number 68 fits into 10 0 times, leaving a remainder of 10.
Record the quotient 0 as the next digit in the result. 
Result so far: 565.0
Deduct 0 from 10 and we're left 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.

Advancing to step 7:
The number 68 fits into 100 1 times, leaving a remainder of 32.
Put 1 as the next digit of the answer. 
Result so far: 565.01
Subtracting 68 from 100 leaves us 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.

Moving on to step 8:
320 divided by 68 is 4 with a remainder of 48.
The number 4 becomes the next digit in our result. 
Result so far: 565.014
The remainder is 48 after subtracting 272 from 320.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

Moving on to step 9:
68 goes into 480 7 times with a remainder of 4.
Put 7 as the next digit of the answer. 
Result so far: 565.0147
If we take 476 away from 480, we end up 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:
When dividing 40 by 68, we get 0 with a remainder of 40.
Record the quotient 0 as the next digit in the result. 
Result so far: 565.0147
Deduct 0 from 40 and we're left 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.

Going ahead to step 11:
68 goes into 400 5 times with a remainder of 60.
Use 5 as the next digit of our solution. 
Result so far: 565.014705
Deduct 340 from 400 and we're left 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.

Let's proceed to step 12:
68 can be fit into 600 8 times, resulting in a remainder of 56.
Write down 8 as next digit of the result. 
Result so far: 565.0147058
Subtract 544 from 600 to get 56.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

On to step 13:
560 divided by 68 is 8 with a remainder of 16.
Record the quotient 8 as the next digit in the result. 
Result so far: 565.01470588
If we subtract 544 from 560, we get 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Our division results in 565.01470588 with a remaining 1.6e-08.