We look at the division of 965406 by 38 
We're looking to find how many times 38 goes into 965406.

Step 1:
38 goes into 9 0 times with a remainder of 9.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 9, we end up with 9.
Take the next digit (6) from the dividend and append it to 9, then repeat: 96 / 38

Step 2:
38 can be fit into 96 2 times, resulting in a remainder of 20.
Write down 2 as next digit of the result. 
Result so far: 2.0
Deduct 76 from 96 and we're left with 20.
Include the next digit (5) from the dividend after 20, then repeat: 205 / 38

Step 3:
The number 38 fits into 205 5 times, leaving a remainder of 15.
The next digit of our result is 5. 
Result so far: 25.0
If we subtract 190 from 205, we get 15.
Fetch the next digit (4) from the dividend, attach it to 15 and continue: 154 / 38

Advancing to step 4:
The number 38 fits into 154 4 times, leaving a remainder of 2.
The next digit of our result is 4. 
Result so far: 254.0
If we subtract 152 from 154, we get 2.
Take the next digit (0) from the dividend and append it to 2, then repeat: 20 / 38

On to step 5:
When dividing 20 by 38, we get 0 with a remainder of 20.
Put 0 as the next digit of the answer. 
Result so far: 2540.0
Deduct 0 from 20 and we're left with 20.
Include the next digit (6) from the dividend after 20, then repeat: 206 / 38

Going ahead to step 6:
206 divided by 38 is 5 with a remainder of 16.
Write down 5 as next digit of the result. 
Result so far: 25405.0
Subtracting 190 from 206 leaves us with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Let's proceed to step 7:
If we divide 160 by 38, we get 4 and a remainder of 8.
Record the quotient 4 as the next digit in the result. 
Result so far: 25405.4
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.

Step 8:
When dividing 80 by 38, we get 2 with a remainder of 4.
Record the quotient 2 as the next digit in the result. 
Result so far: 25405.42
If we subtract 76 from 80, we get 4.
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:
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: 25405.421
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.

Moving on to step 10:
38 goes into 20 0 times with a remainder of 20.
Put 0 as the next digit of the answer. 
Result so far: 25405.421
If we take 0 away from 20, we end up 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 11:
When dividing 200 by 38, we get 5 with a remainder of 10.
Use 5 as the next digit of our solution. 
Result so far: 25405.42105
Deduct 190 from 200 and we're left 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.

Advancing to step 12:
100 divided by 38 is 2 with a remainder of 24.
Record the quotient 2 as the next digit in the result. 
Result so far: 25405.421052
Deduct 76 from 100 and we're left with 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.
Write down 6 as next digit of the result. 
Result so far: 25405.4210526
Subtracting 228 from 240 leaves us 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.

Let's proceed to step 14:
If we divide 120 by 38, we get 3 and a remainder of 6.
Record the quotient 3 as the next digit in the result. 
Result so far: 25405.42105263
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.

After the division, we end up with 25405.42105263 and a remainder of 6e-09.