We look at the division of 358633 by 38 
We want to divide 358633 by 38.

Advancing to step 1:
When dividing 3 by 38, we get 0 with a remainder of 3.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 3 after subtracting 0 from 3.
Take the next digit (5) from the dividend and append it to 3, then repeat: 35 / 38

Moving on to step 2:
If we divide 35 by 38, we get 0 and a remainder of 35.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 35 after subtracting 0 from 35.
Append the next digit (8) from the dividend to 35 and continue with: 358 / 38

Going ahead to step 3:
If we divide 358 by 38, we get 9 and a remainder of 16.
Use 9 as the next digit of our solution. 
Result so far: 9.0
If we subtract 342 from 358, we get 16.
Include the next digit (6) from the dividend after 16, then repeat: 166 / 38

Step 4:
38 goes into 166 4 times with a remainder of 14.
Put 4 as the next digit of the answer. 
Result so far: 94.0
Subtract 152 from 166 to get 14.
Take the next digit (3) from the dividend and append it to 14, then repeat: 143 / 38

Going ahead to step 5:
38 can be fit into 143 3 times, resulting in a remainder of 29.
Record the quotient 3 as the next digit in the result. 
Result so far: 943.0
The remainder is 29 after subtracting 114 from 143.
Append the next digit (3) from the dividend to 29 and continue with: 293 / 38

Going ahead to step 6:
The number 38 fits into 293 7 times, leaving a remainder of 27.
Use 7 as the next digit of our solution. 
Result so far: 9437.0
If we subtract 266 from 293, we get 27.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

Going ahead to step 7:
When dividing 270 by 38, we get 7 with a remainder of 4.
Record the quotient 7 as the next digit in the result. 
Result so far: 9437.7
Deduct 266 from 270 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.

Step 8:
When dividing 40 by 38, we get 1 with a remainder of 2.
Write down 1 as next digit of the result. 
Result so far: 9437.71
If we subtract 38 from 40, we get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

On to step 9:
When dividing 20 by 38, we get 0 with a remainder of 20.
The number 0 becomes the next digit in our result. 
Result so far: 9437.71
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 10:
38 goes into 200 5 times with a remainder of 10.
Write down 5 as next digit of the result. 
Result so far: 9437.7105
Subtract 190 from 200 to 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 11:
If we divide 100 by 38, we get 2 and a remainder of 24.
Put 2 as the next digit of the answer. 
Result so far: 9437.71052
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.

Let's proceed to step 12:
The number 38 fits into 240 6 times, leaving a remainder of 12.
Put 6 as the next digit of the answer. 
Result so far: 9437.710526
The remainder is 12 after subtracting 228 from 240.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Moving on to step 13:
38 goes into 120 3 times with a remainder of 6.
Use 3 as the next digit of our solution. 
Result so far: 9437.7105263
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.

Advancing to step 14:
38 goes into 60 1 times with a remainder of 22.
Write down 1 as next digit of the result. 
Result so far: 9437.71052631
Deduct 38 from 60 and we're left 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.

The quotient of the division is 9437.71052631, and the remainder is 2.2e-08.