We look at the division of 307584 by 53 
We want to divide 307584 by 53.

Let's proceed to step 1:
The number 53 fits into 3 0 times, leaving a remainder of 3.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 3, we end up with 3.
Grab the next digit (0) from the dividend, add it to 3, then carry on: 30 / 53

Let's proceed to step 2:
53 goes into 30 0 times with a remainder of 30.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 30 after subtracting 0 from 30.
Grab the next digit (7) from the dividend, add it to 30, then carry on: 307 / 53

Going ahead to step 3:
53 goes into 307 5 times with a remainder of 42.
Use 5 as the next digit of our solution. 
Result so far: 5.0
The remainder is 42 after subtracting 265 from 307.
Include the next digit (5) from the dividend after 42, then repeat: 425 / 53

Step 4:
425 divided by 53 is 8 with a remainder of 1.
The number 8 becomes the next digit in our result. 
Result so far: 58.0
Subtract 424 from 425 to get 1.
Fetch the next digit (8) from the dividend, attach it to 1 and continue: 18 / 53

Going ahead to step 5:
18 divided by 53 is 0 with a remainder of 18.
The next digit of our result is 0. 
Result so far: 580.0
If we subtract 0 from 18, we get 18.
Grab the next digit (4) from the dividend, add it to 18, then carry on: 184 / 53

Going ahead to step 6:
When dividing 184 by 53, we get 3 with a remainder of 25.
Write down 3 as next digit of the result. 
Result so far: 5803.0
The remainder is 25 after subtracting 159 from 184.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Step 7:
When dividing 250 by 53, we get 4 with a remainder of 38.
Write down 4 as next digit of the result. 
Result so far: 5803.4
Subtract 212 from 250 to get 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

On to step 8:
53 goes into 380 7 times with a remainder of 9.
The number 7 becomes the next digit in our result. 
Result so far: 5803.47
If we take 371 away from 380, we end up with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Step 9:
90 divided by 53 is 1 with a remainder of 37.
Put 1 as the next digit of the answer. 
Result so far: 5803.471
Deduct 53 from 90 and we're left with 37.
Since there are no more digits in the dividend, we add a zero to the remainder making it 370, and continue the process.

On to step 10:
53 goes into 370 6 times with a remainder of 52.
Write down 6 as next digit of the result. 
Result so far: 5803.4716
Subtract 318 from 370 to get 52.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

Advancing to step 11:
If we divide 520 by 53, we get 9 and a remainder of 43.
Put 9 as the next digit of the answer. 
Result so far: 5803.47169
If we subtract 477 from 520, we get 43.
Since there are no more digits in the dividend, we add a zero to the remainder making it 430, and continue the process.

Let's proceed to step 12:
If we divide 430 by 53, we get 8 and a remainder of 6.
The number 8 becomes the next digit in our result. 
Result so far: 5803.471698
If we take 424 away from 430, we end up with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Let's proceed to step 13:
If we divide 60 by 53, we get 1 and a remainder of 7.
The next digit of our result is 1. 
Result so far: 5803.4716981
Subtracting 53 from 60 leaves us with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Moving on to step 14:
The number 53 fits into 70 1 times, leaving a remainder of 17.
The next digit of our result is 1. 
Result so far: 5803.47169811
If we take 53 away from 70, we end up with 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Our division results in 5803.47169811 with a remaining 1.7e-08.