We're dividing 437066 by 4 
We want to divide 437066 by 4.

Going ahead to step 1:
4 divided by 4 is 1 with a remainder of 0.
The next digit of our result is 1. 
Result so far: 1.0
If we subtract 4 from 4, we get 0.
Take the next digit (3) from the dividend and append it to 0, then repeat: 3 / 4

On to step 2:
4 goes into 3 0 times with a remainder of 3.
Record the quotient 0 as the next digit in the result. 
Result so far: 10.0
Subtracting 0 from 3 leaves us with 3.
Take the next digit (7) from the dividend and append it to 3, then repeat: 37 / 4

Moving on to step 3:
When dividing 37 by 4, we get 9 with a remainder of 1.
The number 9 becomes the next digit in our result. 
Result so far: 109.0
If we subtract 36 from 37, we get 1.
Take the next digit (0) from the dividend and append it to 1, then repeat: 10 / 4

Going ahead to step 4:
10 divided by 4 is 2 with a remainder of 2.
Record the quotient 2 as the next digit in the result. 
Result so far: 1092.0
Subtract 8 from 10 to get 2.
Grab the next digit (6) from the dividend, add it to 2, then carry on: 26 / 4

Advancing to step 5:
4 can be fit into 26 6 times, resulting in a remainder of 2.
Write down 6 as next digit of the result. 
Result so far: 10926.0
Deduct 24 from 26 and we're left with 2.
Fetch the next digit (6) from the dividend, attach it to 2 and continue: 26 / 4

Let's proceed to step 6:
4 goes into 26 6 times with a remainder of 2.
The next digit of our result is 6. 
Result so far: 109266.0
Subtracting 24 from 26 leaves us 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 7:
4 goes into 20 5 times with a remainder of 0.
Record the quotient 5 as the next digit in the result. 
Result so far: 109266.5
If we take 20 away from 20, we end up 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.

Let's proceed to step 8:
4 goes into 0 0 times with a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 109266.5
Subtract 0 from 0 to get 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:
4 goes into 0 0 times with a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 109266.5
Subtract 0 from 0 to get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

After the division, we end up with 109266.5 and a remainder of 0.0.