We're dividing 42603005 by 346 
We want to figure out the number of times 42603005 can be divided by 346.

On to step 1:
346 can be fit into 4 0 times, resulting in a remainder of 4.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 4 and we're left with 4.
Bring next digit (2) of the dividend behind the 4 and repeat the process: 42 / 346

On to step 2:
If we divide 42 by 346, we get 0 and a remainder of 42.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 42 after subtracting 0 from 42.
Grab the next digit (6) from the dividend, add it to 42, then carry on: 426 / 346

Advancing to step 3:
346 can be fit into 426 1 times, resulting in a remainder of 80.
The next digit of our result is 1. 
Result so far: 1.0
The remainder is 80 after subtracting 346 from 426.
Bring next digit (0) of the dividend behind the 80 and repeat the process: 800 / 346

Advancing to step 4:
346 can be fit into 800 2 times, resulting in a remainder of 108.
Put 2 as the next digit of the answer. 
Result so far: 12.0
If we take 692 away from 800, we end up with 108.
Take the next digit (3) from the dividend and append it to 108, then repeat: 1083 / 346

Moving on to step 5:
When dividing 1083 by 346, we get 3 with a remainder of 45.
Record the quotient 3 as the next digit in the result. 
Result so far: 123.0
Deduct 1038 from 1083 and we're left with 45.
Bring next digit (0) of the dividend behind the 45 and repeat the process: 450 / 346

Let's proceed to step 6:
When dividing 450 by 346, we get 1 with a remainder of 104.
The number 1 becomes the next digit in our result. 
Result so far: 1231.0
Subtract 346 from 450 to get 104.
Take the next digit (0) from the dividend and append it to 104, then repeat: 1040 / 346

Moving on to step 7:
If we divide 1040 by 346, we get 3 and a remainder of 2.
Use 3 as the next digit of our solution. 
Result so far: 12313.0
Deduct 1038 from 1040 and we're left with 2.
Include the next digit (5) from the dividend after 2, then repeat: 25 / 346

Going ahead to step 8:
346 can be fit into 25 0 times, resulting in a remainder of 25.
Record the quotient 0 as the next digit in the result. 
Result so far: 123130.0
The remainder is 25 after subtracting 0 from 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Moving on to step 9:
If we divide 250 by 346, we get 0 and a remainder of 250.
The number 0 becomes the next digit in our result. 
Result so far: 123130.0
If we subtract 0 from 250, we get 250.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2500, and continue the process.

On to step 10:
346 can be fit into 2500 7 times, resulting in a remainder of 78.
The next digit of our result is 7. 
Result so far: 123130.07
The remainder is 78 after subtracting 2422 from 2500.
Since there are no more digits in the dividend, we add a zero to the remainder making it 780, and continue the process.

Moving on to step 11:
The number 346 fits into 780 2 times, leaving a remainder of 88.
Use 2 as the next digit of our solution. 
Result so far: 123130.072
Deduct 692 from 780 and we're left with 88.
Since there are no more digits in the dividend, we add a zero to the remainder making it 880, and continue the process.

Moving on to step 12:
If we divide 880 by 346, we get 2 and a remainder of 188.
Record the quotient 2 as the next digit in the result. 
Result so far: 123130.0722
Subtract 692 from 880 to get 188.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1880, and continue the process.

The final result is 123130.0722 with a remainder of 0.00188.