We're dividing 350345 by 53 
We want to divide 350345 by 53.

Advancing to step 1:
If we divide 3 by 53, we get 0 and a remainder of 3.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 3 after subtracting 0 from 3.
Append the next digit (5) from the dividend to 3 and continue with: 35 / 53

On to step 2:
53 can be fit into 35 0 times, resulting in a remainder of 35.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 35 leaves us with 35.
Bring next digit (0) of the dividend behind the 35 and repeat the process: 350 / 53

Advancing to step 3:
350 divided by 53 is 6 with a remainder of 32.
The number 6 becomes the next digit in our result. 
Result so far: 6.0
If we subtract 318 from 350, we get 32.
Append the next digit (3) from the dividend to 32 and continue with: 323 / 53

Advancing to step 4:
323 divided by 53 is 6 with a remainder of 5.
Put 6 as the next digit of the answer. 
Result so far: 66.0
If we take 318 away from 323, we end up with 5.
Include the next digit (4) from the dividend after 5, then repeat: 54 / 53

Going ahead to step 5:
54 divided by 53 is 1 with a remainder of 1.
The next digit of our result is 1. 
Result so far: 661.0
If we subtract 53 from 54, we get 1.
Append the next digit (5) from the dividend to 1 and continue with: 15 / 53

Advancing to step 6:
When dividing 15 by 53, we get 0 with a remainder of 15.
Write down 0 as next digit of the result. 
Result so far: 6610.0
The remainder is 15 after subtracting 0 from 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Let's proceed to step 7:
53 goes into 150 2 times with a remainder of 44.
Write down 2 as next digit of the result. 
Result so far: 6610.2
Deduct 106 from 150 and we're left with 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

Advancing to step 8:
The number 53 fits into 440 8 times, leaving a remainder of 16.
The number 8 becomes the next digit in our result. 
Result so far: 6610.28
The remainder is 16 after subtracting 424 from 440.
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 9:
When dividing 160 by 53, we get 3 with a remainder of 1.
Use 3 as the next digit of our solution. 
Result so far: 6610.283
If we subtract 159 from 160, we get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Let's proceed to step 10:
When dividing 10 by 53, we get 0 with a remainder of 10.
Use 0 as the next digit of our solution. 
Result so far: 6610.283
The remainder is 10 after subtracting 0 from 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Advancing to step 11:
100 divided by 53 is 1 with a remainder of 47.
Use 1 as the next digit of our solution. 
Result so far: 6610.28301
If we subtract 53 from 100, we get 47.
Since there are no more digits in the dividend, we add a zero to the remainder making it 470, and continue the process.

Let's proceed to step 12:
53 can be fit into 470 8 times, resulting in a remainder of 46.
The number 8 becomes the next digit in our result. 
Result so far: 6610.283018
The remainder is 46 after subtracting 424 from 470.
Since there are no more digits in the dividend, we add a zero to the remainder making it 460, and continue the process.

Moving on to step 13:
When dividing 460 by 53, we get 8 with a remainder of 36.
The number 8 becomes the next digit in our result. 
Result so far: 6610.2830188
Subtract 424 from 460 to get 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

The quotient of the division is 6610.2830188, and the remainder is 3.6e-07.