We look at the division of 42182302 by 113 
We're looking to find how many times 113 goes into 42182302.

Let's proceed to step 1:
113 goes into 4 0 times with a remainder of 4.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 4 to get 4.
Fetch the next digit (2) from the dividend, attach it to 4 and continue: 42 / 113

Moving on to step 2:
The number 113 fits into 42 0 times, leaving a remainder of 42.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 42, we end up with 42.
Take the next digit (1) from the dividend and append it to 42, then repeat: 421 / 113

Step 3:
113 goes into 421 3 times with a remainder of 82.
Put 3 as the next digit of the answer. 
Result so far: 3.0
Deduct 339 from 421 and we're left with 82.
Take the next digit (8) from the dividend and append it to 82, then repeat: 828 / 113

Advancing to step 4:
If we divide 828 by 113, we get 7 and a remainder of 37.
Record the quotient 7 as the next digit in the result. 
Result so far: 37.0
The remainder is 37 after subtracting 791 from 828.
Take the next digit (2) from the dividend and append it to 37, then repeat: 372 / 113

Let's proceed to step 5:
113 can be fit into 372 3 times, resulting in a remainder of 33.
The next digit of our result is 3. 
Result so far: 373.0
Subtract 339 from 372 to get 33.
Include the next digit (3) from the dividend after 33, then repeat: 333 / 113

Step 6:
333 divided by 113 is 2 with a remainder of 107.
The number 2 becomes the next digit in our result. 
Result so far: 3732.0
Subtract 226 from 333 to get 107.
Bring next digit (0) of the dividend behind the 107 and repeat the process: 1070 / 113

Moving on to step 7:
The number 113 fits into 1070 9 times, leaving a remainder of 53.
Put 9 as the next digit of the answer. 
Result so far: 37329.0
Subtracting 1017 from 1070 leaves us with 53.
Include the next digit (2) from the dividend after 53, then repeat: 532 / 113

Let's proceed to step 8:
113 can be fit into 532 4 times, resulting in a remainder of 80.
The number 4 becomes the next digit in our result. 
Result so far: 373294.0
If we take 452 away from 532, we end up with 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 800, and continue the process.

Moving on to step 9:
113 goes into 800 7 times with a remainder of 9.
The next digit of our result is 7. 
Result so far: 373294.7
If we take 791 away from 800, we end up with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Advancing to step 10:
If we divide 90 by 113, we get 0 and a remainder of 90.
The number 0 becomes the next digit in our result. 
Result so far: 373294.7
Subtracting 0 from 90 leaves us with 90.
Since there are no more digits in the dividend, we add a zero to the remainder making it 900, and continue the process.

On to step 11:
113 goes into 900 7 times with a remainder of 109.
Use 7 as the next digit of our solution. 
Result so far: 373294.707
Subtracting 791 from 900 leaves us with 109.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1090, and continue the process.

Advancing to step 12:
1090 divided by 113 is 9 with a remainder of 73.
Use 9 as the next digit of our solution. 
Result so far: 373294.7079
Deduct 1017 from 1090 and we're left with 73.
Since there are no more digits in the dividend, we add a zero to the remainder making it 730, and continue the process.

Advancing to step 13:
When dividing 730 by 113, we get 6 with a remainder of 52.
Put 6 as the next digit of the answer. 
Result so far: 373294.70796
Subtract 678 from 730 to get 52.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

Step 14:
113 can be fit into 520 4 times, resulting in a remainder of 68.
Write down 4 as next digit of the result. 
Result so far: 373294.707964
Subtract 452 from 520 to get 68.
Since there are no more digits in the dividend, we add a zero to the remainder making it 680, and continue the process.

Moving on to step 15:
113 goes into 680 6 times with a remainder of 2.
The next digit of our result is 6. 
Result so far: 373294.7079646
Subtract 678 from 680 to get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Going ahead to step 16:
If we divide 20 by 113, we get 0 and a remainder of 20.
Record the quotient 0 as the next digit in the result. 
Result so far: 373294.7079646
Deduct 0 from 20 and we're left with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

The final outcome is 373294.7079646, with a leftover of 2e-08.