We look at the division of 345877 by 30 
We want to figure out the number of times 345877 can be divided by 30.

Going ahead to step 1:
If we divide 3 by 30, we get 0 and a remainder of 3.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 3 leaves us with 3.
Take the next digit (4) from the dividend and append it to 3, then repeat: 34 / 30

Advancing to step 2:
30 can be fit into 34 1 times, resulting in a remainder of 4.
Put 1 as the next digit of the answer. 
Result so far: 1.0
Subtracting 30 from 34 leaves us with 4.
Append the next digit (5) from the dividend to 4 and continue with: 45 / 30

Step 3:
When dividing 45 by 30, we get 1 with a remainder of 15.
The next digit of our result is 1. 
Result so far: 11.0
If we subtract 30 from 45, we get 15.
Grab the next digit (8) from the dividend, add it to 15, then carry on: 158 / 30

Moving on to step 4:
The number 30 fits into 158 5 times, leaving a remainder of 8.
Use 5 as the next digit of our solution. 
Result so far: 115.0
Subtracting 150 from 158 leaves us with 8.
Take the next digit (7) from the dividend and append it to 8, then repeat: 87 / 30

Step 5:
87 divided by 30 is 2 with a remainder of 27.
Write down 2 as next digit of the result. 
Result so far: 1152.0
If we subtract 60 from 87, we get 27.
Append the next digit (7) from the dividend to 27 and continue with: 277 / 30

Moving on to step 6:
30 goes into 277 9 times with a remainder of 7.
The next digit of our result is 9. 
Result so far: 11529.0
Deduct 270 from 277 and we're left with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Moving on to step 7:
The number 30 fits into 70 2 times, leaving a remainder of 10.
Write down 2 as next digit of the result. 
Result so far: 11529.2
The remainder is 10 after subtracting 60 from 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Moving on to step 8:
100 divided by 30 is 3 with a remainder of 10.
Write down 3 as next digit of the result. 
Result so far: 11529.23
If we subtract 90 from 100, 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.

Going ahead to step 9:
30 goes into 100 3 times with a remainder of 10.
Record the quotient 3 as the next digit in the result. 
Result so far: 11529.233
Deduct 90 from 100 and we're left with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

The quotient of the division is 11529.233, and the remainder is 0.001.