We're dividing 219122 by 38 
We want to divide 219122 by 38.

Let's proceed to step 1:
When dividing 2 by 38, we get 0 with a remainder of 2.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 2 and we're left with 2.
Bring next digit (1) of the dividend behind the 2 and repeat the process: 21 / 38

Let's proceed to step 2:
When dividing 21 by 38, we get 0 with a remainder of 21.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 21, we end up with 21.
Append the next digit (9) from the dividend to 21 and continue with: 219 / 38

Moving on to step 3:
When dividing 219 by 38, we get 5 with a remainder of 29.
Write down 5 as next digit of the result. 
Result so far: 5.0
If we take 190 away from 219, we end up with 29.
Bring next digit (1) of the dividend behind the 29 and repeat the process: 291 / 38

Moving on to step 4:
291 divided by 38 is 7 with a remainder of 25.
The number 7 becomes the next digit in our result. 
Result so far: 57.0
Deduct 266 from 291 and we're left with 25.
Fetch the next digit (2) from the dividend, attach it to 25 and continue: 252 / 38

Going ahead to step 5:
252 divided by 38 is 6 with a remainder of 24.
Use 6 as the next digit of our solution. 
Result so far: 576.0
Deduct 228 from 252 and we're left with 24.
Append the next digit (2) from the dividend to 24 and continue with: 242 / 38

Going ahead to step 6:
The number 38 fits into 242 6 times, leaving a remainder of 14.
Write down 6 as next digit of the result. 
Result so far: 5766.0
If we take 228 away from 242, we end up with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Advancing to step 7:
When dividing 140 by 38, we get 3 with a remainder of 26.
Record the quotient 3 as the next digit in the result. 
Result so far: 5766.3
If we subtract 114 from 140, we get 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Going ahead to step 8:
If we divide 260 by 38, we get 6 and a remainder of 32.
Use 6 as the next digit of our solution. 
Result so far: 5766.36
Subtracting 228 from 260 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.

Step 9:
320 divided by 38 is 8 with a remainder of 16.
The next digit of our result is 8. 
Result so far: 5766.368
Subtract 304 from 320 to 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.

Let's proceed to step 10:
The number 38 fits into 160 4 times, leaving a remainder of 8.
The number 4 becomes the next digit in our result. 
Result so far: 5766.3684
The remainder is 8 after subtracting 152 from 160.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Step 11:
The number 38 fits into 80 2 times, leaving a remainder of 4.
The number 2 becomes the next digit in our result. 
Result so far: 5766.36842
If we take 76 away from 80, 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.

Advancing to step 12:
If we divide 40 by 38, we get 1 and a remainder of 2.
The number 1 becomes the next digit in our result. 
Result so far: 5766.368421
Subtracting 38 from 40 leaves us with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Advancing to step 13:
When dividing 20 by 38, we get 0 with a remainder of 20.
The next digit of our result is 0. 
Result so far: 5766.368421
Subtract 0 from 20 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.

On to step 14:
When dividing 200 by 38, we get 5 with a remainder of 10.
The next digit of our result is 5. 
Result so far: 5766.36842105
Deduct 190 from 200 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.

After the division, we end up with 5766.36842105 and a remainder of 1e-08.