474259 ÷ 87 
Our goal is to divide 474259 by 87.

Advancing to step 1:
When dividing 4 by 87, we get 0 with a remainder of 4.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 4 and we're left with 4.
Take the next digit (7) from the dividend and append it to 4, then repeat: 47 / 87

Advancing to step 2:
87 goes into 47 0 times with a remainder of 47.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 47 leaves us with 47.
Grab the next digit (4) from the dividend, add it to 47, then carry on: 474 / 87

Advancing to step 3:
If we divide 474 by 87, we get 5 and a remainder of 39.
Write down 5 as next digit of the result. 
Result so far: 5.0
Deduct 435 from 474 and we're left with 39.
Fetch the next digit (2) from the dividend, attach it to 39 and continue: 392 / 87

Going ahead to step 4:
87 can be fit into 392 4 times, resulting in a remainder of 44.
Use 4 as the next digit of our solution. 
Result so far: 54.0
If we take 348 away from 392, we end up with 44.
Include the next digit (5) from the dividend after 44, then repeat: 445 / 87

Moving on to step 5:
87 can be fit into 445 5 times, resulting in a remainder of 10.
Record the quotient 5 as the next digit in the result. 
Result so far: 545.0
Subtracting 435 from 445 leaves us with 10.
Take the next digit (9) from the dividend and append it to 10, then repeat: 109 / 87

Advancing to step 6:
When dividing 109 by 87, we get 1 with a remainder of 22.
Write down 1 as next digit of the result. 
Result so far: 5451.0
Deduct 87 from 109 and we're left with 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Moving on to step 7:
If we divide 220 by 87, we get 2 and a remainder of 46.
The number 2 becomes the next digit in our result. 
Result so far: 5451.2
Subtracting 174 from 220 leaves us with 46.
Since there are no more digits in the dividend, we add a zero to the remainder making it 460, and continue the process.

Let's proceed to step 8:
87 goes into 460 5 times with a remainder of 25.
Put 5 as the next digit of the answer. 
Result so far: 5451.25
Subtract 435 from 460 to get 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Moving on to step 9:
The number 87 fits into 250 2 times, leaving a remainder of 76.
The next digit of our result is 2. 
Result so far: 5451.252
If we take 174 away from 250, we end up with 76.
Since there are no more digits in the dividend, we add a zero to the remainder making it 760, and continue the process.

Let's proceed to step 10:
The number 87 fits into 760 8 times, leaving a remainder of 64.
The number 8 becomes the next digit in our result. 
Result so far: 5451.2528
The remainder is 64 after subtracting 696 from 760.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

Step 11:
If we divide 640 by 87, we get 7 and a remainder of 31.
Write down 7 as next digit of the result. 
Result so far: 5451.25287
If we take 609 away from 640, we end up with 31.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

Moving on to step 12:
87 can be fit into 310 3 times, resulting in a remainder of 49.
Put 3 as the next digit of the answer. 
Result so far: 5451.252873
If we take 261 away from 310, we end up with 49.
Since there are no more digits in the dividend, we add a zero to the remainder making it 490, and continue the process.

Step 13:
87 goes into 490 5 times with a remainder of 55.
Write down 5 as next digit of the result. 
Result so far: 5451.2528735
The remainder is 55 after subtracting 435 from 490.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

Moving on to step 14:
550 divided by 87 is 6 with a remainder of 28.
Use 6 as the next digit of our solution. 
Result so far: 5451.25287356
Deduct 522 from 550 and we're left with 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

The final result is 5451.25287356 with a remainder of 2.8e-08.