We look at the division of 7441359 by 317 
Our goal is to divide 7441359 by 317.

On to step 1:
317 can be fit into 7 0 times, resulting in a remainder of 7.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 7 to get 7.
Grab the next digit (4) from the dividend, add it to 7, then carry on: 74 / 317

Let's proceed to step 2:
If we divide 74 by 317, we get 0 and a remainder of 74.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 74, we end up with 74.
Include the next digit (4) from the dividend after 74, then repeat: 744 / 317

Going ahead to step 3:
317 goes into 744 2 times with a remainder of 110.
Write down 2 as next digit of the result. 
Result so far: 2.0
Subtracting 634 from 744 leaves us with 110.
Grab the next digit (1) from the dividend, add it to 110, then carry on: 1101 / 317

Let's proceed to step 4:
If we divide 1101 by 317, we get 3 and a remainder of 150.
Use 3 as the next digit of our solution. 
Result so far: 23.0
Deduct 951 from 1101 and we're left with 150.
Bring next digit (3) of the dividend behind the 150 and repeat the process: 1503 / 317

Let's proceed to step 5:
If we divide 1503 by 317, we get 4 and a remainder of 235.
Put 4 as the next digit of the answer. 
Result so far: 234.0
If we take 1268 away from 1503, we end up with 235.
Include the next digit (5) from the dividend after 235, then repeat: 2355 / 317

Let's proceed to step 6:
If we divide 2355 by 317, we get 7 and a remainder of 136.
Use 7 as the next digit of our solution. 
Result so far: 2347.0
If we subtract 2219 from 2355, we get 136.
Bring next digit (9) of the dividend behind the 136 and repeat the process: 1369 / 317

Advancing to step 7:
317 goes into 1369 4 times with a remainder of 101.
Put 4 as the next digit of the answer. 
Result so far: 23474.0
Deduct 1268 from 1369 and we're left with 101.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1010, and continue the process.

Advancing to step 8:
If we divide 1010 by 317, we get 3 and a remainder of 59.
Record the quotient 3 as the next digit in the result. 
Result so far: 23474.3
Subtracting 951 from 1010 leaves us with 59.
Since there are no more digits in the dividend, we add a zero to the remainder making it 590, and continue the process.

Moving on to step 9:
317 goes into 590 1 times with a remainder of 273.
The next digit of our result is 1. 
Result so far: 23474.31
Deduct 317 from 590 and we're left with 273.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2730, and continue the process.

On to step 10:
2730 divided by 317 is 8 with a remainder of 194.
Record the quotient 8 as the next digit in the result. 
Result so far: 23474.318
Deduct 2536 from 2730 and we're left with 194.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1940, and continue the process.

Step 11:
317 goes into 1940 6 times with a remainder of 38.
The number 6 becomes the next digit in our result. 
Result so far: 23474.3186
If we take 1902 away from 1940, we end up with 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Step 12:
317 goes into 380 1 times with a remainder of 63.
Use 1 as the next digit of our solution. 
Result so far: 23474.31861
The remainder is 63 after subtracting 317 from 380.
Since there are no more digits in the dividend, we add a zero to the remainder making it 630, and continue the process.

Advancing to step 13:
317 goes into 630 1 times with a remainder of 313.
Use 1 as the next digit of our solution. 
Result so far: 23474.318611
If we take 317 away from 630, we end up with 313.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3130, and continue the process.

The final result is 23474.318611 with a remainder of 3.13e-05.