421973 ÷ 38 
Our goal is to divide 421973 by 38.

Advancing to step 1:
If we divide 4 by 38, we get 0 and a remainder of 4.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 4, we end up with 4.
Append the next digit (2) from the dividend to 4 and continue with: 42 / 38

Moving on to step 2:
38 goes into 42 1 times with a remainder of 4.
The next digit of our result is 1. 
Result so far: 1.0
Deduct 38 from 42 and we're left with 4.
Include the next digit (1) from the dividend after 4, then repeat: 41 / 38

Moving on to step 3:
When dividing 41 by 38, we get 1 with a remainder of 3.
Record the quotient 1 as the next digit in the result. 
Result so far: 11.0
If we subtract 38 from 41, we get 3.
Bring next digit (9) of the dividend behind the 3 and repeat the process: 39 / 38

Moving on to step 4:
When dividing 39 by 38, we get 1 with a remainder of 1.
Put 1 as the next digit of the answer. 
Result so far: 111.0
If we subtract 38 from 39, we get 1.
Append the next digit (7) from the dividend to 1 and continue with: 17 / 38

Let's proceed to step 5:
The number 38 fits into 17 0 times, leaving a remainder of 17.
Record the quotient 0 as the next digit in the result. 
Result so far: 1110.0
If we take 0 away from 17, we end up with 17.
Grab the next digit (3) from the dividend, add it to 17, then carry on: 173 / 38

Going ahead to step 6:
If we divide 173 by 38, we get 4 and a remainder of 21.
Record the quotient 4 as the next digit in the result. 
Result so far: 11104.0
The remainder is 21 after subtracting 152 from 173.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Going ahead to step 7:
If we divide 210 by 38, we get 5 and a remainder of 20.
Put 5 as the next digit of the answer. 
Result so far: 11104.5
Subtract 190 from 210 to get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Moving on to step 8:
When dividing 200 by 38, we get 5 with a remainder of 10.
Use 5 as the next digit of our solution. 
Result so far: 11104.55
If we subtract 190 from 200, we get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Our division results in 11104.55 with a remaining 0.01.