We look at the division of 753437 by 75 
Our goal is to divide 753437 by 75.

Let's proceed to step 1:
If we divide 7 by 75, we get 0 and a remainder of 7.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 7 and we're left with 7.
Bring next digit (5) of the dividend behind the 7 and repeat the process: 75 / 75

Advancing to step 2:
When dividing 75 by 75, we get 1 with a remainder of 0.
Put 1 as the next digit of the answer. 
Result so far: 1.0
If we take 75 away from 75, we end up with 0.
Bring next digit (3) of the dividend behind the 0 and repeat the process: 3 / 75

On to step 3:
When dividing 3 by 75, we get 0 with a remainder of 3.
Write down 0 as next digit of the result. 
Result so far: 10.0
Subtracting 0 from 3 leaves us with 3.
Fetch the next digit (4) from the dividend, attach it to 3 and continue: 34 / 75

Moving on to step 4:
75 can be fit into 34 0 times, resulting in a remainder of 34.
The next digit of our result is 0. 
Result so far: 100.0
Subtract 0 from 34 to get 34.
Fetch the next digit (3) from the dividend, attach it to 34 and continue: 343 / 75

Let's proceed to step 5:
When dividing 343 by 75, we get 4 with a remainder of 43.
Record the quotient 4 as the next digit in the result. 
Result so far: 1004.0
The remainder is 43 after subtracting 300 from 343.
Include the next digit (7) from the dividend after 43, then repeat: 437 / 75

On to step 6:
When dividing 437 by 75, we get 5 with a remainder of 62.
Put 5 as the next digit of the answer. 
Result so far: 10045.0
Subtracting 375 from 437 leaves us with 62.
Since there are no more digits in the dividend, we add a zero to the remainder making it 620, and continue the process.

Going ahead to step 7:
The number 75 fits into 620 8 times, leaving a remainder of 20.
The number 8 becomes the next digit in our result. 
Result so far: 10045.8
Subtract 600 from 620 to get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Step 8:
If we divide 200 by 75, we get 2 and a remainder of 50.
Use 2 as the next digit of our solution. 
Result so far: 10045.82
Subtract 150 from 200 to get 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Let's proceed to step 9:
75 can be fit into 500 6 times, resulting in a remainder of 50.
Put 6 as the next digit of the answer. 
Result so far: 10045.826
Deduct 450 from 500 and we're left with 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Step 10:
The number 75 fits into 500 6 times, leaving a remainder of 50.
Put 6 as the next digit of the answer. 
Result so far: 10045.8266
Subtracting 450 from 500 leaves us with 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

The quotient of the division is 10045.8266, and the remainder is 0.0005.