We divide 213105 by 38
We're looking to find how many times 38 goes into 213105.

On to step 1:
38 can be fit into 2 0 times, resulting in a remainder of 2.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 2, we end up with 2.
Bring next digit (1) of the dividend behind the 2 and repeat the process: 21 / 38

Advancing to step 2:
If we divide 21 by 38, we get 0 and a remainder of 21.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 21 leaves us with 21.
Grab the next digit (3) from the dividend, add it to 21, then carry on: 213 / 38

Step 3:
If we divide 213 by 38, we get 5 and a remainder of 23.
Record the quotient 5 as the next digit in the result. 
Result so far: 5.0
If we subtract 190 from 213, we get 23.
Take the next digit (1) from the dividend and append it to 23, then repeat: 231 / 38

On to step 4:
38 goes into 231 6 times with a remainder of 3.
The next digit of our result is 6. 
Result so far: 56.0
If we take 228 away from 231, we end up with 3.
Include the next digit (0) from the dividend after 3, then repeat: 30 / 38

Going ahead to step 5:
38 goes into 30 0 times with a remainder of 30.
Use 0 as the next digit of our solution. 
Result so far: 560.0
Subtract 0 from 30 to get 30.
Grab the next digit (5) from the dividend, add it to 30, then carry on: 305 / 38

Advancing to step 6:
38 goes into 305 8 times with a remainder of 1.
Use 8 as the next digit of our solution. 
Result so far: 5608.0
If we take 304 away from 305, we end up with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Step 7:
If we divide 10 by 38, we get 0 and a remainder of 10.
The next digit of our result is 0. 
Result so far: 5608.0
If we subtract 0 from 10, 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.

Let's proceed to step 8:
If we divide 100 by 38, we get 2 and a remainder of 24.
The number 2 becomes the next digit in our result. 
Result so far: 5608.02
Subtract 76 from 100 to get 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Advancing to step 9:
38 goes into 240 6 times with a remainder of 12.
Record the quotient 6 as the next digit in the result. 
Result so far: 5608.026
If we take 228 away from 240, we end up with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Advancing to step 10:
When dividing 120 by 38, we get 3 with a remainder of 6.
Record the quotient 3 as the next digit in the result. 
Result so far: 5608.0263
Deduct 114 from 120 and we're left with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Step 11:
The number 38 fits into 60 1 times, leaving a remainder of 22.
Use 1 as the next digit of our solution. 
Result so far: 5608.02631
Subtract 38 from 60 to get 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Advancing to step 12:
38 goes into 220 5 times with a remainder of 30.
Use 5 as the next digit of our solution. 
Result so far: 5608.026315
Subtract 190 from 220 to get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Moving on to step 13:
When dividing 300 by 38, we get 7 with a remainder of 34.
Put 7 as the next digit of the answer. 
Result so far: 5608.0263157
Deduct 266 from 300 and we're left with 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Going ahead to step 14:
340 divided by 38 is 8 with a remainder of 36.
Use 8 as the next digit of our solution. 
Result so far: 5608.02631578
If we subtract 304 from 340, 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.

After the division, we end up with 5608.02631578 and a remainder of 3.6e-08.