202214 ÷ 38 
We're looking to find how many times 38 goes into 202214.

On to step 1:
38 can be fit into 2 0 times, resulting in a remainder of 2.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 2 leaves us with 2.
Bring next digit (0) of the dividend behind the 2 and repeat the process: 20 / 38

Moving on to step 2:
20 divided by 38 is 0 with a remainder of 20.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 20, we get 20.
Fetch the next digit (2) from the dividend, attach it to 20 and continue: 202 / 38

On to step 3:
When dividing 202 by 38, we get 5 with a remainder of 12.
Use 5 as the next digit of our solution. 
Result so far: 5.0
Subtracting 190 from 202 leaves us with 12.
Grab the next digit (2) from the dividend, add it to 12, then carry on: 122 / 38

Going ahead to step 4:
122 divided by 38 is 3 with a remainder of 8.
Use 3 as the next digit of our solution. 
Result so far: 53.0
Deduct 114 from 122 and we're left with 8.
Grab the next digit (1) from the dividend, add it to 8, then carry on: 81 / 38

On to step 5:
The number 38 fits into 81 2 times, leaving a remainder of 5.
Put 2 as the next digit of the answer. 
Result so far: 532.0
Subtract 76 from 81 to get 5.
Bring next digit (4) of the dividend behind the 5 and repeat the process: 54 / 38

On to step 6:
If we divide 54 by 38, we get 1 and a remainder of 16.
Record the quotient 1 as the next digit in the result. 
Result so far: 5321.0
The remainder is 16 after subtracting 38 from 54.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Advancing to step 7:
38 can be fit into 160 4 times, resulting in a remainder of 8.
Write down 4 as next digit of the result. 
Result so far: 5321.4
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.

Let's proceed to step 8:
When dividing 80 by 38, we get 2 with a remainder of 4.
The next digit of our result is 2. 
Result so far: 5321.42
The remainder is 4 after subtracting 76 from 80.
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 9:
38 can be fit into 40 1 times, resulting in a remainder of 2.
Put 1 as the next digit of the answer. 
Result so far: 5321.421
The remainder is 2 after subtracting 38 from 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Step 10:
38 can be fit into 20 0 times, resulting in a remainder of 20.
Write down 0 as next digit of the result. 
Result so far: 5321.421
Subtracting 0 from 20 leaves us 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.

Advancing to step 11:
38 goes into 200 5 times with a remainder of 10.
Use 5 as the next digit of our solution. 
Result so far: 5321.42105
Subtracting 190 from 200 leaves us 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.

On to step 12:
38 can be fit into 100 2 times, resulting in a remainder of 24.
Use 2 as the next digit of our solution. 
Result so far: 5321.421052
If we subtract 76 from 100, we 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.

Step 13:
38 can be fit into 240 6 times, resulting in a remainder of 12.
Record the quotient 6 as the next digit in the result. 
Result so far: 5321.4210526
Subtract 228 from 240 to get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Going ahead to step 14:
When dividing 120 by 38, we get 3 with a remainder of 6.
The next digit of our result is 3. 
Result so far: 5321.42105263
The remainder is 6 after subtracting 114 from 120.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

In conclusion, the division gives 5321.42105263 with a balance of 6e-09.