We look at the division of 343753 by 90 
Our goal is to divide 343753 by 90.

Going ahead to step 1:
If we divide 3 by 90, we get 0 and a remainder of 3.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 3, we end up with 3.
Grab the next digit (4) from the dividend, add it to 3, then carry on: 34 / 90

Let's proceed to step 2:
34 divided by 90 is 0 with a remainder of 34.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 34, we end up with 34.
Include the next digit (3) from the dividend after 34, then repeat: 343 / 90

On to step 3:
If we divide 343 by 90, we get 3 and a remainder of 73.
Put 3 as the next digit of the answer. 
Result so far: 3.0
If we take 270 away from 343, we end up with 73.
Bring next digit (7) of the dividend behind the 73 and repeat the process: 737 / 90

On to step 4:
90 can be fit into 737 8 times, resulting in a remainder of 17.
Record the quotient 8 as the next digit in the result. 
Result so far: 38.0
Subtracting 720 from 737 leaves us with 17.
Grab the next digit (5) from the dividend, add it to 17, then carry on: 175 / 90

On to step 5:
If we divide 175 by 90, we get 1 and a remainder of 85.
Put 1 as the next digit of the answer. 
Result so far: 381.0
If we subtract 90 from 175, we get 85.
Append the next digit (3) from the dividend to 85 and continue with: 853 / 90

On to step 6:
When dividing 853 by 90, we get 9 with a remainder of 43.
Record the quotient 9 as the next digit in the result. 
Result so far: 3819.0
If we take 810 away from 853, we end up with 43.
Since there are no more digits in the dividend, we add a zero to the remainder making it 430, and continue the process.

Advancing to step 7:
90 can be fit into 430 4 times, resulting in a remainder of 70.
Write down 4 as next digit of the result. 
Result so far: 3819.4
Deduct 360 from 430 and we're left with 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 700, and continue the process.

On to step 8:
When dividing 700 by 90, we get 7 with a remainder of 70.
Record the quotient 7 as the next digit in the result. 
Result so far: 3819.47
If we take 630 away from 700, we end up with 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 700, and continue the process.

Advancing to step 9:
The number 90 fits into 700 7 times, leaving a remainder of 70.
Write down 7 as next digit of the result. 
Result so far: 3819.477
Subtracting 630 from 700 leaves us with 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 700, and continue the process.

The quotient of the division is 3819.477, and the remainder is 0.007.