303674 ÷ 4 
We're looking to find how many times 4 goes into 303674.

Going ahead to step 1:
When dividing 3 by 4, 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 (0) from the dividend and append it to 3, then repeat: 30 / 4

Going ahead to step 2:
The number 4 fits into 30 7 times, leaving a remainder of 2.
The number 7 becomes the next digit in our result. 
Result so far: 7.0
Subtract 28 from 30 to get 2.
Fetch the next digit (3) from the dividend, attach it to 2 and continue: 23 / 4

Advancing to step 3:
23 divided by 4 is 5 with a remainder of 3.
Write down 5 as next digit of the result. 
Result so far: 75.0
Subtracting 20 from 23 leaves us with 3.
Include the next digit (6) from the dividend after 3, then repeat: 36 / 4

Moving on to step 4:
4 goes into 36 9 times with a remainder of 0.
Record the quotient 9 as the next digit in the result. 
Result so far: 759.0
Subtract 36 from 36 to get 0.
Include the next digit (7) from the dividend after 0, then repeat: 7 / 4

On to step 5:
When dividing 7 by 4, we get 1 with a remainder of 3.
Record the quotient 1 as the next digit in the result. 
Result so far: 7591.0
The remainder is 3 after subtracting 4 from 7.
Grab the next digit (4) from the dividend, add it to 3, then carry on: 34 / 4

Moving on to step 6:
If we divide 34 by 4, we get 8 and a remainder of 2.
Write down 8 as next digit of the result. 
Result so far: 75918.0
If we subtract 32 from 34, 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.

Advancing to step 7:
The number 4 fits into 20 5 times, leaving a remainder of 0.
Write down 5 as next digit of the result. 
Result so far: 75918.5
The remainder is 0 after subtracting 20 from 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Advancing to step 8:
0 divided by 4 is 0 with a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 75918.5
Deduct 0 from 0 and we're left with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Advancing to step 9:
0 divided by 4 is 0 with a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 75918.5
Deduct 0 from 0 and we're left with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

The final outcome is 75918.5, with a leftover of 0.0.