476903 ÷ 86 
Our goal is to divide 476903 by 86.

Advancing to step 1:
86 goes into 4 0 times with a remainder of 4.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 4 after subtracting 0 from 4.
Take the next digit (7) from the dividend and append it to 4, then repeat: 47 / 86

Going ahead to step 2:
The number 86 fits into 47 0 times, leaving a remainder of 47.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 47, we end up with 47.
Take the next digit (6) from the dividend and append it to 47, then repeat: 476 / 86

Step 3:
When dividing 476 by 86, we get 5 with a remainder of 46.
The next digit of our result is 5. 
Result so far: 5.0
If we take 430 away from 476, we end up with 46.
Grab the next digit (9) from the dividend, add it to 46, then carry on: 469 / 86

Step 4:
86 can be fit into 469 5 times, resulting in a remainder of 39.
The number 5 becomes the next digit in our result. 
Result so far: 55.0
Deduct 430 from 469 and we're left with 39.
Include the next digit (0) from the dividend after 39, then repeat: 390 / 86

Step 5:
When dividing 390 by 86, we get 4 with a remainder of 46.
Use 4 as the next digit of our solution. 
Result so far: 554.0
If we subtract 344 from 390, we get 46.
Bring next digit (3) of the dividend behind the 46 and repeat the process: 463 / 86

Moving on to step 6:
The number 86 fits into 463 5 times, leaving a remainder of 33.
Record the quotient 5 as the next digit in the result. 
Result so far: 5545.0
If we subtract 430 from 463, we get 33.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

Let's proceed to step 7:
If we divide 330 by 86, we get 3 and a remainder of 72.
The next digit of our result is 3. 
Result so far: 5545.3
Subtracting 258 from 330 leaves us with 72.
Since there are no more digits in the dividend, we add a zero to the remainder making it 720, and continue the process.

Moving on to step 8:
The number 86 fits into 720 8 times, leaving a remainder of 32.
Record the quotient 8 as the next digit in the result. 
Result so far: 5545.38
The remainder is 32 after subtracting 688 from 720.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

On to step 9:
320 divided by 86 is 3 with a remainder of 62.
The next digit of our result is 3. 
Result so far: 5545.383
If we take 258 away from 320, we end up with 62.
Since there are no more digits in the dividend, we add a zero to the remainder making it 620, and continue the process.

Advancing to step 10:
If we divide 620 by 86, we get 7 and a remainder of 18.
Put 7 as the next digit of the answer. 
Result so far: 5545.3837
If we subtract 602 from 620, we get 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Advancing to step 11:
If we divide 180 by 86, we get 2 and a remainder of 8.
Put 2 as the next digit of the answer. 
Result so far: 5545.38372
Subtracting 172 from 180 leaves us with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Going ahead to step 12:
86 goes into 80 0 times with a remainder of 80.
The next digit of our result is 0. 
Result so far: 5545.38372
If we take 0 away from 80, we end up with 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 800, and continue the process.

On to step 13:
If we divide 800 by 86, we get 9 and a remainder of 26.
The next digit of our result is 9. 
Result so far: 5545.3837209
If we take 774 away from 800, we end up with 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

On to step 14:
260 divided by 86 is 3 with a remainder of 2.
Record the quotient 3 as the next digit in the result. 
Result so far: 5545.38372093
If we subtract 258 from 260, we get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

In conclusion, the division gives 5545.38372093 with a balance of 2e-09.