601727 divided by 4 
We're looking to find how many times 4 goes into 601727.

Going ahead to step 1:
4 can be fit into 6 1 times, resulting in a remainder of 2.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Subtract 4 from 6 to get 2.
Take the next digit (0) from the dividend and append it to 2, then repeat: 20 / 4

Advancing to step 2:
If we divide 20 by 4, we get 5 and a remainder of 0.
The next digit of our result is 5. 
Result so far: 15.0
If we subtract 20 from 20, we get 0.
Take the next digit (1) from the dividend and append it to 0, then repeat: 1 / 4

Let's proceed to step 3:
The number 4 fits into 1 0 times, leaving a remainder of 1.
Put 0 as the next digit of the answer. 
Result so far: 150.0
Deduct 0 from 1 and we're left with 1.
Fetch the next digit (7) from the dividend, attach it to 1 and continue: 17 / 4

Advancing to step 4:
4 goes into 17 4 times with a remainder of 1.
The number 4 becomes the next digit in our result. 
Result so far: 1504.0
Deduct 16 from 17 and we're left with 1.
Grab the next digit (2) from the dividend, add it to 1, then carry on: 12 / 4

Let's proceed to step 5:
The number 4 fits into 12 3 times, leaving a remainder of 0.
The next digit of our result is 3. 
Result so far: 15043.0
Subtracting 12 from 12 leaves us with 0.
Fetch the next digit (7) from the dividend, attach it to 0 and continue: 7 / 4

Advancing to step 6:
The number 4 fits into 7 1 times, leaving a remainder of 3.
Record the quotient 1 as the next digit in the result. 
Result so far: 150431.0
Subtract 4 from 7 to get 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Advancing to step 7:
30 divided by 4 is 7 with a remainder of 2.
Write down 7 as next digit of the result. 
Result so far: 150431.7
Deduct 28 from 30 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.

Advancing to step 8:
20 divided by 4 is 5 with a remainder of 0.
Write down 5 as next digit of the result. 
Result so far: 150431.75
Subtract 20 from 20 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.

Moving on to step 9:
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: 150431.75
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.

Going ahead to step 10:
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: 150431.75
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.

In conclusion, the division gives 150431.75 with a balance of 0.0.