We look at the division of 735425 by 4 
We want to figure out the number of times 735425 can be divided by 4.

Advancing to step 1:
When dividing 7 by 4, we get 1 with a remainder of 3.
Write down 1 as next digit of the result. 
Result so far: 1.0
Deduct 4 from 7 and we're left with 3.
Fetch the next digit (3) from the dividend, attach it to 3 and continue: 33 / 4

Step 2:
The number 4 fits into 33 8 times, leaving a remainder of 1.
Write down 8 as next digit of the result. 
Result so far: 18.0
If we subtract 32 from 33, we get 1.
Bring next digit (5) of the dividend behind the 1 and repeat the process: 15 / 4

On to step 3:
When dividing 15 by 4, we get 3 with a remainder of 3.
Use 3 as the next digit of our solution. 
Result so far: 183.0
If we take 12 away from 15, we end up with 3.
Include the next digit (4) from the dividend after 3, then repeat: 34 / 4

Advancing to step 4:
4 can be fit into 34 8 times, resulting in a remainder of 2.
The next digit of our result is 8. 
Result so far: 1838.0
If we take 32 away from 34, we end up with 2.
Fetch the next digit (2) from the dividend, attach it to 2 and continue: 22 / 4

Let's proceed to step 5:
If we divide 22 by 4, we get 5 and a remainder of 2.
The next digit of our result is 5. 
Result so far: 18385.0
If we take 20 away from 22, we end up with 2.
Fetch the next digit (5) from the dividend, attach it to 2 and continue: 25 / 4

Step 6:
If we divide 25 by 4, we get 6 and a remainder of 1.
The next digit of our result is 6. 
Result so far: 183856.0
Deduct 24 from 25 and we're left with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Moving on to step 7:
4 can be fit into 10 2 times, resulting in a remainder of 2.
Use 2 as the next digit of our solution. 
Result so far: 183856.2
Deduct 8 from 10 and we're left with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Step 8:
4 can be fit into 20 5 times, resulting in a remainder of 0.
Use 5 as the next digit of our solution. 
Result so far: 183856.25
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 9:
The number 4 fits into 0 0 times, leaving a remainder of 0.
The next digit of our result is 0. 
Result so far: 183856.25
Subtracting 0 from 0 leaves us 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.

On to step 10:
When dividing 0 by 4, we get 0 with a remainder of 0.
The number 0 becomes the next digit in our result. 
Result so far: 183856.25
The remainder is 0 after subtracting 0 from 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 quotient of the division is 183856.25, and the remainder is 0.0.