8425423 ÷ 203 
We're looking to find how many times 203 goes into 8425423.

Moving on to step 1:
The number 203 fits into 8 0 times, leaving a remainder of 8.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 8, we get 8.
Take the next digit (4) from the dividend and append it to 8, then repeat: 84 / 203

On to step 2:
If we divide 84 by 203, we get 0 and a remainder of 84.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 84, we end up with 84.
Bring next digit (2) of the dividend behind the 84 and repeat the process: 842 / 203

Advancing to step 3:
The number 203 fits into 842 4 times, leaving a remainder of 30.
Record the quotient 4 as the next digit in the result. 
Result so far: 4.0
Subtract 812 from 842 to get 30.
Append the next digit (5) from the dividend to 30 and continue with: 305 / 203

Going ahead to step 4:
203 goes into 305 1 times with a remainder of 102.
Use 1 as the next digit of our solution. 
Result so far: 41.0
If we subtract 203 from 305, we get 102.
Append the next digit (4) from the dividend to 102 and continue with: 1024 / 203

Going ahead to step 5:
1024 divided by 203 is 5 with a remainder of 9.
Use 5 as the next digit of our solution. 
Result so far: 415.0
The remainder is 9 after subtracting 1015 from 1024.
Bring next digit (2) of the dividend behind the 9 and repeat the process: 92 / 203

Going ahead to step 6:
203 can be fit into 92 0 times, resulting in a remainder of 92.
Write down 0 as next digit of the result. 
Result so far: 4150.0
If we take 0 away from 92, we end up with 92.
Bring next digit (3) of the dividend behind the 92 and repeat the process: 923 / 203

Going ahead to step 7:
When dividing 923 by 203, we get 4 with a remainder of 111.
Write down 4 as next digit of the result. 
Result so far: 41504.0
Subtract 812 from 923 to get 111.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1110, and continue the process.

Advancing to step 8:
If we divide 1110 by 203, we get 5 and a remainder of 95.
Write down 5 as next digit of the result. 
Result so far: 41504.5
Subtracting 1015 from 1110 leaves us with 95.
Since there are no more digits in the dividend, we add a zero to the remainder making it 950, and continue the process.

Let's proceed to step 9:
When dividing 950 by 203, we get 4 with a remainder of 138.
The next digit of our result is 4. 
Result so far: 41504.54
Subtract 812 from 950 to get 138.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1380, and continue the process.

On to step 10:
When dividing 1380 by 203, we get 6 with a remainder of 162.
The number 6 becomes the next digit in our result. 
Result so far: 41504.546
If we take 1218 away from 1380, we end up with 162.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1620, and continue the process.

On to step 11:
If we divide 1620 by 203, we get 7 and a remainder of 199.
Record the quotient 7 as the next digit in the result. 
Result so far: 41504.5467
The remainder is 199 after subtracting 1421 from 1620.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1990, and continue the process.

Step 12:
If we divide 1990 by 203, we get 9 and a remainder of 163.
Write down 9 as next digit of the result. 
Result so far: 41504.54679
If we take 1827 away from 1990, we end up with 163.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1630, and continue the process.

Moving on to step 13:
The number 203 fits into 1630 8 times, leaving a remainder of 6.
Record the quotient 8 as the next digit in the result. 
Result so far: 41504.546798
If we subtract 1624 from 1630, we get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Moving on to step 14:
If we divide 60 by 203, we get 0 and a remainder of 60.
The next digit of our result is 0. 
Result so far: 41504.546798
Deduct 0 from 60 and we're left with 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

Step 15:
When dividing 600 by 203, we get 2 with a remainder of 194.
Write down 2 as next digit of the result. 
Result so far: 41504.54679802
Subtract 406 from 600 to get 194.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1940, and continue the process.

Our division results in 41504.54679802 with a remaining 1.94e-07.