We look at the division of 371434 by 96 
Our goal is to divide 371434 by 96.

Moving on to step 1:
96 goes into 3 0 times with a remainder of 3.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 3 to get 3.
Fetch the next digit (7) from the dividend, attach it to 3 and continue: 37 / 96

Going ahead to step 2:
If we divide 37 by 96, we get 0 and a remainder of 37.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 37, we get 37.
Bring next digit (1) of the dividend behind the 37 and repeat the process: 371 / 96

Moving on to step 3:
When dividing 371 by 96, we get 3 with a remainder of 83.
Record the quotient 3 as the next digit in the result. 
Result so far: 3.0
The remainder is 83 after subtracting 288 from 371.
Take the next digit (4) from the dividend and append it to 83, then repeat: 834 / 96

Going ahead to step 4:
The number 96 fits into 834 8 times, leaving a remainder of 66.
The number 8 becomes the next digit in our result. 
Result so far: 38.0
The remainder is 66 after subtracting 768 from 834.
Bring next digit (3) of the dividend behind the 66 and repeat the process: 663 / 96

Step 5:
96 can be fit into 663 6 times, resulting in a remainder of 87.
The number 6 becomes the next digit in our result. 
Result so far: 386.0
If we subtract 576 from 663, we get 87.
Fetch the next digit (4) from the dividend, attach it to 87 and continue: 874 / 96

Step 6:
96 goes into 874 9 times with a remainder of 10.
Use 9 as the next digit of our solution. 
Result so far: 3869.0
The remainder is 10 after subtracting 864 from 874.
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 7:
96 can be fit into 100 1 times, resulting in a remainder of 4.
Use 1 as the next digit of our solution. 
Result so far: 3869.1
Deduct 96 from 100 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 96, we get 0 with a remainder of 40.
The number 0 becomes the next digit in our result. 
Result so far: 3869.1
Deduct 0 from 40 and we're left with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Let's proceed to step 9:
96 goes into 400 4 times with a remainder of 16.
Write down 4 as next digit of the result. 
Result so far: 3869.104
If we take 384 away from 400, we end up 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.

Moving on to step 10:
When dividing 160 by 96, we get 1 with a remainder of 64.
Put 1 as the next digit of the answer. 
Result so far: 3869.1041
Subtracting 96 from 160 leaves us with 64.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

Moving on to step 11:
If we divide 640 by 96, we get 6 and a remainder of 64.
The next digit of our result is 6. 
Result so far: 3869.10416
The remainder is 64 after subtracting 576 from 640.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

Moving on to step 12:
640 divided by 96 is 6 with a remainder of 64.
Record the quotient 6 as the next digit in the result. 
Result so far: 3869.104166
Subtract 576 from 640 to get 64.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

Our division results in 3869.104166 with a remaining 6.4e-06.