We're dividing 1962 by 38 
We want to figure out the number of times 1962 can be divided by 38.

Let's proceed to step 1:
If we divide 1 by 38, we get 0 and a remainder of 1.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 1 after subtracting 0 from 1.
Include the next digit (9) from the dividend after 1, then repeat: 19 / 38

Advancing to step 2:
The number 38 fits into 19 0 times, leaving a remainder of 19.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 19 leaves us with 19.
Grab the next digit (6) from the dividend, add it to 19, then carry on: 196 / 38

Step 3:
38 can be fit into 196 5 times, resulting in a remainder of 6.
Record the quotient 5 as the next digit in the result. 
Result so far: 5.0
The remainder is 6 after subtracting 190 from 196.
Append the next digit (2) from the dividend to 6 and continue with: 62 / 38

Let's proceed to step 4:
When dividing 62 by 38, we get 1 with a remainder of 24.
Write down 1 as next digit of the result. 
Result so far: 51.0
If we take 38 away from 62, we end up 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.

Going ahead to step 5:
The number 38 fits into 240 6 times, leaving a remainder of 12.
The next digit of our result is 6. 
Result so far: 51.6
If we subtract 228 from 240, we 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 6:
The number 38 fits into 120 3 times, leaving a remainder of 6.
Record the quotient 3 as the next digit in the result. 
Result so far: 51.63
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.

Step 7:
If we divide 60 by 38, we get 1 and a remainder of 22.
The next digit of our result is 1. 
Result so far: 51.631
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.

Moving on to step 8:
If we divide 220 by 38, we get 5 and a remainder of 30.
Record the quotient 5 as the next digit in the result. 
Result so far: 51.6315
Subtracting 190 from 220 leaves us 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.

Step 9:
When dividing 300 by 38, we get 7 with a remainder of 34.
Use 7 as the next digit of our solution. 
Result so far: 51.63157
The remainder is 34 after subtracting 266 from 300.
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 10:
If we divide 340 by 38, we get 8 and a remainder of 36.
Record the quotient 8 as the next digit in the result. 
Result so far: 51.631578
Deduct 304 from 340 and we're left with 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

On to step 11:
360 divided by 38 is 9 with a remainder of 18.
Write down 9 as next digit of the result. 
Result so far: 51.6315789
Deduct 342 from 360 and we're left with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Going ahead to step 12:
38 goes into 180 4 times with a remainder of 28.
The number 4 becomes the next digit in our result. 
Result so far: 51.63157894
Subtract 152 from 180 to get 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

After the division, we end up with 51.63157894 and a remainder of 2.8e-08.