362842 divided by 96 
Our goal is to divide 362842 by 96.

Step 1:
When dividing 3 by 96, we get 0 with a remainder of 3.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 3, we end up with 3.
Take the next digit (6) from the dividend and append it to 3, then repeat: 36 / 96

Going ahead to step 2:
The number 96 fits into 36 0 times, leaving a remainder of 36.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 36 and we're left with 36.
Fetch the next digit (2) from the dividend, attach it to 36 and continue: 362 / 96

Step 3:
The number 96 fits into 362 3 times, leaving a remainder of 74.
Use 3 as the next digit of our solution. 
Result so far: 3.0
Deduct 288 from 362 and we're left with 74.
Grab the next digit (8) from the dividend, add it to 74, then carry on: 748 / 96

On to step 4:
The number 96 fits into 748 7 times, leaving a remainder of 76.
Put 7 as the next digit of the answer. 
Result so far: 37.0
If we subtract 672 from 748, we get 76.
Bring next digit (4) of the dividend behind the 76 and repeat the process: 764 / 96

On to step 5:
If we divide 764 by 96, we get 7 and a remainder of 92.
Write down 7 as next digit of the result. 
Result so far: 377.0
Subtract 672 from 764 to get 92.
Bring next digit (2) of the dividend behind the 92 and repeat the process: 922 / 96

Going ahead to step 6:
If we divide 922 by 96, we get 9 and a remainder of 58.
Put 9 as the next digit of the answer. 
Result so far: 3779.0
The remainder is 58 after subtracting 864 from 922.
Since there are no more digits in the dividend, we add a zero to the remainder making it 580, and continue the process.

On to step 7:
If we divide 580 by 96, we get 6 and a remainder of 4.
Put 6 as the next digit of the answer. 
Result so far: 3779.6
If we subtract 576 from 580, 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 8:
If we divide 40 by 96, we get 0 and a remainder of 40.
Use 0 as the next digit of our solution. 
Result so far: 3779.6
If we subtract 0 from 40, we get 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Going ahead to step 9:
The number 96 fits into 400 4 times, leaving a remainder of 16.
Record the quotient 4 as the next digit in the result. 
Result so far: 3779.604
Deduct 384 from 400 and we're left 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.

Step 10:
160 divided by 96 is 1 with a remainder of 64.
The number 1 becomes the next digit in our result. 
Result so far: 3779.6041
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:
96 goes into 640 6 times with a remainder of 64.
Use 6 as the next digit of our solution. 
Result so far: 3779.60416
If we subtract 576 from 640, we 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.

On to step 12:
When dividing 640 by 96, we get 6 with a remainder of 64.
Put 6 as the next digit of the answer. 
Result so far: 3779.604166
If we take 576 away from 640, we end up 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.

Our division results in 3779.604166 with a remaining 6.4e-06.