We look at the division of 353980 by 69 
Let's see how many times 69 fits into 353980.

Going ahead to step 1:
The number 69 fits into 3 0 times, leaving a remainder of 3.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 3, we get 3.
Append the next digit (5) from the dividend to 3 and continue with: 35 / 69

Moving on to step 2:
When dividing 35 by 69, we get 0 with a remainder of 35.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 35, we end up with 35.
Append the next digit (3) from the dividend to 35 and continue with: 353 / 69

Advancing to step 3:
When dividing 353 by 69, we get 5 with a remainder of 8.
The number 5 becomes the next digit in our result. 
Result so far: 5.0
Deduct 345 from 353 and we're left with 8.
Include the next digit (9) from the dividend after 8, then repeat: 89 / 69

Going ahead to step 4:
69 can be fit into 89 1 times, resulting in a remainder of 20.
Put 1 as the next digit of the answer. 
Result so far: 51.0
If we take 69 away from 89, we end up with 20.
Bring next digit (8) of the dividend behind the 20 and repeat the process: 208 / 69

Going ahead to step 5:
When dividing 208 by 69, we get 3 with a remainder of 1.
Record the quotient 3 as the next digit in the result. 
Result so far: 513.0
The remainder is 1 after subtracting 207 from 208.
Append the next digit (0) from the dividend to 1 and continue with: 10 / 69

Advancing to step 6:
If we divide 10 by 69, we get 0 and a remainder of 10.
Use 0 as the next digit of our solution. 
Result so far: 5130.0
If we subtract 0 from 10, we get 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 7:
The number 69 fits into 100 1 times, leaving a remainder of 31.
Write down 1 as next digit of the result. 
Result so far: 5130.1
If we subtract 69 from 100, we get 31.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

On to step 8:
69 can be fit into 310 4 times, resulting in a remainder of 34.
Write down 4 as next digit of the result. 
Result so far: 5130.14
If we subtract 276 from 310, we get 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Advancing to step 9:
69 can be fit into 340 4 times, resulting in a remainder of 64.
Write down 4 as next digit of the result. 
Result so far: 5130.144
Subtracting 276 from 340 leaves us with 64.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

The quotient of the division is 5130.144, and the remainder is 0.0064.