559441 ÷ 87 
We want to figure out the number of times 559441 can be divided by 87.

Step 1:
87 goes into 5 0 times with a remainder of 5.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 5 after subtracting 0 from 5.
Append the next digit (5) from the dividend to 5 and continue with: 55 / 87

On to step 2:
When dividing 55 by 87, we get 0 with a remainder of 55.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 55 and we're left with 55.
Fetch the next digit (9) from the dividend, attach it to 55 and continue: 559 / 87

Step 3:
When dividing 559 by 87, we get 6 with a remainder of 37.
Record the quotient 6 as the next digit in the result. 
Result so far: 6.0
If we take 522 away from 559, we end up with 37.
Take the next digit (4) from the dividend and append it to 37, then repeat: 374 / 87

Going ahead to step 4:
87 goes into 374 4 times with a remainder of 26.
The number 4 becomes the next digit in our result. 
Result so far: 64.0
If we subtract 348 from 374, we get 26.
Bring next digit (4) of the dividend behind the 26 and repeat the process: 264 / 87

Step 5:
87 goes into 264 3 times with a remainder of 3.
The next digit of our result is 3. 
Result so far: 643.0
Subtracting 261 from 264 leaves us with 3.
Bring next digit (1) of the dividend behind the 3 and repeat the process: 31 / 87

Advancing to step 6:
The number 87 fits into 31 0 times, leaving a remainder of 31.
Write down 0 as next digit of the result. 
Result so far: 6430.0
If we subtract 0 from 31, we get 31.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

On to step 7:
If we divide 310 by 87, we get 3 and a remainder of 49.
The number 3 becomes the next digit in our result. 
Result so far: 6430.3
Subtracting 261 from 310 leaves us 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.

Going ahead to step 8:
87 goes into 490 5 times with a remainder of 55.
Write down 5 as next digit of the result. 
Result so far: 6430.35
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.

Step 9:
When dividing 550 by 87, we get 6 with a remainder of 28.
Use 6 as the next digit of our solution. 
Result so far: 6430.356
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.

Going ahead to step 10:
If we divide 280 by 87, we get 3 and a remainder of 19.
Put 3 as the next digit of the answer. 
Result so far: 6430.3563
If we subtract 261 from 280, we get 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

On to step 11:
87 goes into 190 2 times with a remainder of 16.
The next digit of our result is 2. 
Result so far: 6430.35632
Subtracting 174 from 190 leaves us with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Going ahead to step 12:
87 goes into 160 1 times with a remainder of 73.
Record the quotient 1 as the next digit in the result. 
Result so far: 6430.356321
Subtracting 87 from 160 leaves us with 73.
Since there are no more digits in the dividend, we add a zero to the remainder making it 730, and continue the process.

On to step 13:
The number 87 fits into 730 8 times, leaving a remainder of 34.
Put 8 as the next digit of the answer. 
Result so far: 6430.3563218
Subtract 696 from 730 to get 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Going ahead to step 14:
87 can be fit into 340 3 times, resulting in a remainder of 79.
Use 3 as the next digit of our solution. 
Result so far: 6430.35632183
Deduct 261 from 340 and we're left with 79.
Since there are no more digits in the dividend, we add a zero to the remainder making it 790, and continue the process.

The final outcome is 6430.35632183, with a leftover of 7.9e-08.