We're dividing 4176725 by 801 
We're looking to find how many times 801 goes into 4176725.

Going ahead to step 1:
801 can be fit into 4 0 times, resulting in a remainder of 4.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 4 leaves us with 4.
Include the next digit (1) from the dividend after 4, then repeat: 41 / 801

Advancing to step 2:
The number 801 fits into 41 0 times, leaving a remainder of 41.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 41 and we're left with 41.
Include the next digit (7) from the dividend after 41, then repeat: 417 / 801

Let's proceed to step 3:
When dividing 417 by 801, we get 0 with a remainder of 417.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 417 after subtracting 0 from 417.
Bring next digit (6) of the dividend behind the 417 and repeat the process: 4176 / 801

Let's proceed to step 4:
If we divide 4176 by 801, we get 5 and a remainder of 171.
Write down 5 as next digit of the result. 
Result so far: 5.0
Subtract 4005 from 4176 to get 171.
Append the next digit (7) from the dividend to 171 and continue with: 1717 / 801

On to step 5:
If we divide 1717 by 801, we get 2 and a remainder of 115.
Use 2 as the next digit of our solution. 
Result so far: 52.0
Deduct 1602 from 1717 and we're left with 115.
Take the next digit (2) from the dividend and append it to 115, then repeat: 1152 / 801

Let's proceed to step 6:
801 can be fit into 1152 1 times, resulting in a remainder of 351.
The next digit of our result is 1. 
Result so far: 521.0
If we take 801 away from 1152, we end up with 351.
Fetch the next digit (5) from the dividend, attach it to 351 and continue: 3515 / 801

Moving on to step 7:
3515 divided by 801 is 4 with a remainder of 311.
Write down 4 as next digit of the result. 
Result so far: 5214.0
Subtracting 3204 from 3515 leaves us with 311.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3110, and continue the process.

Advancing to step 8:
When dividing 3110 by 801, we get 3 with a remainder of 707.
Put 3 as the next digit of the answer. 
Result so far: 5214.3
If we take 2403 away from 3110, we end up with 707.
Since there are no more digits in the dividend, we add a zero to the remainder making it 7070, and continue the process.

Moving on to step 9:
The number 801 fits into 7070 8 times, leaving a remainder of 662.
Write down 8 as next digit of the result. 
Result so far: 5214.38
If we subtract 6408 from 7070, we get 662.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6620, and continue the process.

Step 10:
801 goes into 6620 8 times with a remainder of 212.
The number 8 becomes the next digit in our result. 
Result so far: 5214.388
Subtracting 6408 from 6620 leaves us with 212.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2120, and continue the process.

The final result is 5214.388 with a remainder of 0.0212.