402213 ÷ 38 
Let's see how many times 38 fits into 402213.

Going ahead to step 1:
38 can be fit into 4 0 times, resulting in a remainder of 4.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 4, we get 4.
Bring next digit (0) of the dividend behind the 4 and repeat the process: 40 / 38

On to step 2:
38 can be fit into 40 1 times, resulting in a remainder of 2.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Subtracting 38 from 40 leaves us with 2.
Take the next digit (2) from the dividend and append it to 2, then repeat: 22 / 38

Advancing to step 3:
The number 38 fits into 22 0 times, leaving a remainder of 22.
The number 0 becomes the next digit in our result. 
Result so far: 10.0
Deduct 0 from 22 and we're left with 22.
Fetch the next digit (2) from the dividend, attach it to 22 and continue: 222 / 38

Moving on to step 4:
If we divide 222 by 38, we get 5 and a remainder of 32.
The number 5 becomes the next digit in our result. 
Result so far: 105.0
Deduct 190 from 222 and we're left with 32.
Fetch the next digit (1) from the dividend, attach it to 32 and continue: 321 / 38

Going ahead to step 5:
38 goes into 321 8 times with a remainder of 17.
The number 8 becomes the next digit in our result. 
Result so far: 1058.0
Subtract 304 from 321 to get 17.
Include the next digit (3) from the dividend after 17, then repeat: 173 / 38

Step 6:
38 can be fit into 173 4 times, resulting in a remainder of 21.
Put 4 as the next digit of the answer. 
Result so far: 10584.0
If we subtract 152 from 173, we get 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Moving on to step 7:
When dividing 210 by 38, we get 5 with a remainder of 20.
The next digit of our result is 5. 
Result so far: 10584.5
Deduct 190 from 210 and we're left with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Going ahead to step 8:
The number 38 fits into 200 5 times, leaving a remainder of 10.
The number 5 becomes the next digit in our result. 
Result so far: 10584.55
If we take 190 away from 200, 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.

The quotient of the division is 10584.55, and the remainder is 0.01.