Let's divide 313421 by 94
We want to divide 313421 by 94.

On to step 1:
3 divided by 94 is 0 with a remainder of 3.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 3 to get 3.
Bring next digit (1) of the dividend behind the 3 and repeat the process: 31 / 94

Going ahead to step 2:
When dividing 31 by 94, we get 0 with a remainder of 31.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 31 leaves us with 31.
Include the next digit (3) from the dividend after 31, then repeat: 313 / 94

Going ahead to step 3:
The number 94 fits into 313 3 times, leaving a remainder of 31.
The number 3 becomes the next digit in our result. 
Result so far: 3.0
The remainder is 31 after subtracting 282 from 313.
Grab the next digit (4) from the dividend, add it to 31, then carry on: 314 / 94

Moving on to step 4:
314 divided by 94 is 3 with a remainder of 32.
Put 3 as the next digit of the answer. 
Result so far: 33.0
Deduct 282 from 314 and we're left with 32.
Append the next digit (2) from the dividend to 32 and continue with: 322 / 94

Moving on to step 5:
322 divided by 94 is 3 with a remainder of 40.
Use 3 as the next digit of our solution. 
Result so far: 333.0
If we subtract 282 from 322, we get 40.
Grab the next digit (1) from the dividend, add it to 40, then carry on: 401 / 94

Moving on to step 6:
If we divide 401 by 94, we get 4 and a remainder of 25.
Use 4 as the next digit of our solution. 
Result so far: 3334.0
Deduct 376 from 401 and we're left with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Moving on to step 7:
94 goes into 250 2 times with a remainder of 62.
The number 2 becomes the next digit in our result. 
Result so far: 3334.2
Subtracting 188 from 250 leaves us with 62.
Since there are no more digits in the dividend, we add a zero to the remainder making it 620, and continue the process.

Going ahead to step 8:
If we divide 620 by 94, we get 6 and a remainder of 56.
The number 6 becomes the next digit in our result. 
Result so far: 3334.26
Subtracting 564 from 620 leaves us with 56.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

Going ahead to step 9:
If we divide 560 by 94, we get 5 and a remainder of 90.
The number 5 becomes the next digit in our result. 
Result so far: 3334.265
Subtracting 470 from 560 leaves us with 90.
Since there are no more digits in the dividend, we add a zero to the remainder making it 900, and continue the process.

Going ahead to step 10:
94 goes into 900 9 times with a remainder of 54.
Put 9 as the next digit of the answer. 
Result so far: 3334.2659
If we subtract 846 from 900, we get 54.
Since there are no more digits in the dividend, we add a zero to the remainder making it 540, and continue the process.

Step 11:
The number 94 fits into 540 5 times, leaving a remainder of 70.
The next digit of our result is 5. 
Result so far: 3334.26595
Subtract 470 from 540 to get 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 700, and continue the process.

Going ahead to step 12:
94 can be fit into 700 7 times, resulting in a remainder of 42.
Put 7 as the next digit of the answer. 
Result so far: 3334.265957
Subtract 658 from 700 to get 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Moving on to step 13:
94 can be fit into 420 4 times, resulting in a remainder of 44.
The number 4 becomes the next digit in our result. 
Result so far: 3334.2659574
If we subtract 376 from 420, we get 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

On to step 14:
If we divide 440 by 94, we get 4 and a remainder of 64.
Use 4 as the next digit of our solution. 
Result so far: 3334.26595744
Deduct 376 from 440 and we're left 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.

The final result is 3334.26595744 with a remainder of 6.4e-08.