353057 ÷ 77 
We're looking to find how many times 77 goes into 353057.

Going ahead to step 1:
3 divided by 77 is 0 with a remainder of 3.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 3 to get 3.
Bring next digit (5) of the dividend behind the 3 and repeat the process: 35 / 77

Advancing to step 2:
When dividing 35 by 77, we get 0 with a remainder of 35.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 35, we end up with 35.
Bring next digit (3) of the dividend behind the 35 and repeat the process: 353 / 77

On to step 3:
77 can be fit into 353 4 times, resulting in a remainder of 45.
Write down 4 as next digit of the result. 
Result so far: 4.0
The remainder is 45 after subtracting 308 from 353.
Grab the next digit (0) from the dividend, add it to 45, then carry on: 450 / 77

Step 4:
450 divided by 77 is 5 with a remainder of 65.
Put 5 as the next digit of the answer. 
Result so far: 45.0
Deduct 385 from 450 and we're left with 65.
Append the next digit (5) from the dividend to 65 and continue with: 655 / 77

Step 5:
When dividing 655 by 77, we get 8 with a remainder of 39.
The next digit of our result is 8. 
Result so far: 458.0
If we take 616 away from 655, we end up with 39.
Take the next digit (7) from the dividend and append it to 39, then repeat: 397 / 77

Advancing to step 6:
If we divide 397 by 77, we get 5 and a remainder of 12.
Record the quotient 5 as the next digit in the result. 
Result so far: 4585.0
If we take 385 away from 397, we end up with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Step 7:
If we divide 120 by 77, we get 1 and a remainder of 43.
Record the quotient 1 as the next digit in the result. 
Result so far: 4585.1
Subtracting 77 from 120 leaves us 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 8:
When dividing 430 by 77, we get 5 with a remainder of 45.
Write down 5 as next digit of the result. 
Result so far: 4585.15
Deduct 385 from 430 and we're left with 45.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

Advancing to step 9:
77 can be fit into 450 5 times, resulting in a remainder of 65.
Record the quotient 5 as the next digit in the result. 
Result so far: 4585.155
If we take 385 away from 450, we end up with 65.
Since there are no more digits in the dividend, we add a zero to the remainder making it 650, and continue the process.

Our division results in 4585.155 with a remaining 0.0065.