We're dividing 263177 by 4 
We want to figure out the number of times 263177 can be divided by 4.

Advancing to step 1:
2 divided by 4 is 0 with a remainder of 2.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 2, we get 2.
Append the next digit (6) from the dividend to 2 and continue with: 26 / 4

Advancing to step 2:
The number 4 fits into 26 6 times, leaving a remainder of 2.
The number 6 becomes the next digit in our result. 
Result so far: 6.0
If we take 24 away from 26, we end up with 2.
Fetch the next digit (3) from the dividend, attach it to 2 and continue: 23 / 4

Let's proceed to step 3:
4 can be fit into 23 5 times, resulting in a remainder of 3.
Use 5 as the next digit of our solution. 
Result so far: 65.0
If we subtract 20 from 23, we get 3.
Grab the next digit (1) from the dividend, add it to 3, then carry on: 31 / 4

Going ahead to step 4:
4 goes into 31 7 times with a remainder of 3.
Record the quotient 7 as the next digit in the result. 
Result so far: 657.0
If we take 28 away from 31, we end up with 3.
Fetch the next digit (7) from the dividend, attach it to 3 and continue: 37 / 4

Let's proceed to step 5:
If we divide 37 by 4, we get 9 and a remainder of 1.
Record the quotient 9 as the next digit in the result. 
Result so far: 6579.0
If we subtract 36 from 37, we get 1.
Bring next digit (7) of the dividend behind the 1 and repeat the process: 17 / 4

Moving on to step 6:
The number 4 fits into 17 4 times, leaving a remainder of 1.
Write down 4 as next digit of the result. 
Result so far: 65794.0
The remainder is 1 after subtracting 16 from 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

On to step 7:
4 goes into 10 2 times with a remainder of 2.
Put 2 as the next digit of the answer. 
Result so far: 65794.2
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.

Moving on to step 8:
The number 4 fits into 20 5 times, leaving a remainder of 0.
Put 5 as the next digit of the answer. 
Result so far: 65794.25
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.

On to step 9:
The number 4 fits into 0 0 times, leaving a remainder of 0.
Put 0 as the next digit of the answer. 
Result so far: 65794.25
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.

Let's proceed to step 10:
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: 65794.25
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 65794.25, with a leftover of 0.0.