We're dividing 206458 by 38 
We want to divide 206458 by 38.

Going ahead to step 1:
38 can be fit into 2 0 times, resulting in a remainder of 2.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 2 leaves us with 2.
Include the next digit (0) from the dividend after 2, then repeat: 20 / 38

Advancing to step 2:
20 divided by 38 is 0 with a remainder of 20.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 20, we get 20.
Bring next digit (6) of the dividend behind the 20 and repeat the process: 206 / 38

Going ahead to step 3:
When dividing 206 by 38, we get 5 with a remainder of 16.
Write down 5 as next digit of the result. 
Result so far: 5.0
Deduct 190 from 206 and we're left with 16.
Take the next digit (4) from the dividend and append it to 16, then repeat: 164 / 38

Step 4:
The number 38 fits into 164 4 times, leaving a remainder of 12.
Record the quotient 4 as the next digit in the result. 
Result so far: 54.0
Subtracting 152 from 164 leaves us with 12.
Take the next digit (5) from the dividend and append it to 12, then repeat: 125 / 38

On to step 5:
If we divide 125 by 38, we get 3 and a remainder of 11.
Put 3 as the next digit of the answer. 
Result so far: 543.0
Subtract 114 from 125 to get 11.
Take the next digit (8) from the dividend and append it to 11, then repeat: 118 / 38

Let's proceed to step 6:
118 divided by 38 is 3 with a remainder of 4.
Use 3 as the next digit of our solution. 
Result so far: 5433.0
Deduct 114 from 118 and we're left 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.

On to step 7:
38 goes into 40 1 times with a remainder of 2.
Write down 1 as next digit of the result. 
Result so far: 5433.1
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 8:
38 can be fit into 20 0 times, resulting in a remainder of 20.
The number 0 becomes the next digit in our result. 
Result so far: 5433.1
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.

Moving on to step 9:
If we divide 200 by 38, we get 5 and a remainder of 10.
Put 5 as the next digit of the answer. 
Result so far: 5433.105
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.

Step 10:
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: 5433.1052
The remainder is 24 after subtracting 76 from 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Step 11:
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: 5433.10526
Deduct 228 from 240 and we're left 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 12:
When dividing 120 by 38, we get 3 with a remainder of 6.
Put 3 as the next digit of the answer. 
Result so far: 5433.105263
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.

Let's proceed to step 13:
60 divided by 38 is 1 with a remainder of 22.
Write down 1 as next digit of the result. 
Result so far: 5433.1052631
If we take 38 away from 60, we end up with 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 14:
38 can be fit into 220 5 times, resulting in a remainder of 30.
The number 5 becomes the next digit in our result. 
Result so far: 5433.10526315
Deduct 190 from 220 and we're left with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

The quotient of the division is 5433.10526315, and the remainder is 3e-08.