We're dividing 536419 by 87 
We want to figure out the number of times 536419 can be divided by 87.

Going ahead to step 1:
When dividing 5 by 87, we get 0 with a remainder of 5.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 5 to get 5.
Include the next digit (3) from the dividend after 5, then repeat: 53 / 87

On to step 2:
53 divided by 87 is 0 with a remainder of 53.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 53 leaves us with 53.
Grab the next digit (6) from the dividend, add it to 53, then carry on: 536 / 87

Going ahead to step 3:
536 divided by 87 is 6 with a remainder of 14.
Put 6 as the next digit of the answer. 
Result so far: 6.0
If we subtract 522 from 536, we get 14.
Take the next digit (4) from the dividend and append it to 14, then repeat: 144 / 87

Let's proceed to step 4:
87 goes into 144 1 times with a remainder of 57.
Record the quotient 1 as the next digit in the result. 
Result so far: 61.0
If we take 87 away from 144, we end up with 57.
Grab the next digit (1) from the dividend, add it to 57, then carry on: 571 / 87

Let's proceed to step 5:
When dividing 571 by 87, we get 6 with a remainder of 49.
The number 6 becomes the next digit in our result. 
Result so far: 616.0
The remainder is 49 after subtracting 522 from 571.
Bring next digit (9) of the dividend behind the 49 and repeat the process: 499 / 87

Going ahead to step 6:
87 goes into 499 5 times with a remainder of 64.
Use 5 as the next digit of our solution. 
Result so far: 6165.0
The remainder is 64 after subtracting 435 from 499.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

Moving on to step 7:
640 divided by 87 is 7 with a remainder of 31.
Record the quotient 7 as the next digit in the result. 
Result so far: 6165.7
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 8:
The number 87 fits into 310 3 times, leaving a remainder of 49.
Record the quotient 3 as the next digit in the result. 
Result so far: 6165.73
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.

Let's proceed to step 9:
If we divide 490 by 87, we get 5 and a remainder of 55.
Put 5 as the next digit of the answer. 
Result so far: 6165.735
If we take 435 away from 490, we end up with 55.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

Advancing to step 10:
87 can be fit into 550 6 times, resulting in a remainder of 28.
Record the quotient 6 as the next digit in the result. 
Result so far: 6165.7356
Subtracting 522 from 550 leaves us 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.

Advancing to step 11:
The number 87 fits into 280 3 times, leaving a remainder of 19.
Put 3 as the next digit of the answer. 
Result so far: 6165.73563
Subtract 261 from 280 to 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.

Going ahead to step 12:
If we divide 190 by 87, we get 2 and a remainder of 16.
Write down 2 as next digit of the result. 
Result so far: 6165.735632
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.

On to step 13:
87 can be fit into 160 1 times, resulting in a remainder of 73.
The number 1 becomes the next digit in our result. 
Result so far: 6165.7356321
If we subtract 87 from 160, we get 73.
Since there are no more digits in the dividend, we add a zero to the remainder making it 730, and continue the process.

Moving on to step 14:
If we divide 730 by 87, we get 8 and a remainder of 34.
Use 8 as the next digit of our solution. 
Result so far: 6165.73563218
The remainder is 34 after subtracting 696 from 730.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

The quotient of the division is 6165.73563218, and the remainder is 3.4e-08.