10031345 ÷ 234 
We're looking to find how many times 234 goes into 10031345.

On to step 1:
When dividing 1 by 234, we get 0 with a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 1 to get 1.
Grab the next digit (0) from the dividend, add it to 1, then carry on: 10 / 234

Moving on to step 2:
When dividing 10 by 234, we get 0 with a remainder of 10.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 10 leaves us with 10.
Take the next digit (0) from the dividend and append it to 10, then repeat: 100 / 234

Advancing to step 3:
234 can be fit into 100 0 times, resulting in a remainder of 100.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 100 leaves us with 100.
Include the next digit (3) from the dividend after 100, then repeat: 1003 / 234

On to step 4:
234 can be fit into 1003 4 times, resulting in a remainder of 67.
Record the quotient 4 as the next digit in the result. 
Result so far: 4.0
If we subtract 936 from 1003, we get 67.
Include the next digit (1) from the dividend after 67, then repeat: 671 / 234

On to step 5:
234 can be fit into 671 2 times, resulting in a remainder of 203.
Write down 2 as next digit of the result. 
Result so far: 42.0
If we subtract 468 from 671, we get 203.
Take the next digit (3) from the dividend and append it to 203, then repeat: 2033 / 234

Step 6:
When dividing 2033 by 234, we get 8 with a remainder of 161.
Write down 8 as next digit of the result. 
Result so far: 428.0
Subtracting 1872 from 2033 leaves us with 161.
Fetch the next digit (4) from the dividend, attach it to 161 and continue: 1614 / 234

On to step 7:
234 can be fit into 1614 6 times, resulting in a remainder of 210.
Put 6 as the next digit of the answer. 
Result so far: 4286.0
Subtracting 1404 from 1614 leaves us with 210.
Include the next digit (5) from the dividend after 210, then repeat: 2105 / 234

On to step 8:
2105 divided by 234 is 8 with a remainder of 233.
The next digit of our result is 8. 
Result so far: 42868.0
The remainder is 233 after subtracting 1872 from 2105.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2330, and continue the process.

Going ahead to step 9:
2330 divided by 234 is 9 with a remainder of 224.
The number 9 becomes the next digit in our result. 
Result so far: 42868.9
Deduct 2106 from 2330 and we're left with 224.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2240, and continue the process.

Going ahead to step 10:
If we divide 2240 by 234, we get 9 and a remainder of 134.
The next digit of our result is 9. 
Result so far: 42868.99
Subtracting 2106 from 2240 leaves us with 134.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1340, and continue the process.

The quotient of the division is 42868.99, and the remainder is 0.134.