337889 ÷ 42 
We're looking to find how many times 42 goes into 337889.

Let's proceed to step 1:
42 goes into 3 0 times with a remainder of 3.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 3 to get 3.
Bring next digit (3) of the dividend behind the 3 and repeat the process: 33 / 42

Let's proceed to step 2:
The number 42 fits into 33 0 times, leaving a remainder of 33.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 33 to get 33.
Grab the next digit (7) from the dividend, add it to 33, then carry on: 337 / 42

Going ahead to step 3:
When dividing 337 by 42, we get 8 with a remainder of 1.
The next digit of our result is 8. 
Result so far: 8.0
Deduct 336 from 337 and we're left with 1.
Include the next digit (8) from the dividend after 1, then repeat: 18 / 42

Step 4:
When dividing 18 by 42, we get 0 with a remainder of 18.
The next digit of our result is 0. 
Result so far: 80.0
Subtract 0 from 18 to get 18.
Take the next digit (8) from the dividend and append it to 18, then repeat: 188 / 42

Moving on to step 5:
188 divided by 42 is 4 with a remainder of 20.
Use 4 as the next digit of our solution. 
Result so far: 804.0
Deduct 168 from 188 and we're left with 20.
Bring next digit (9) of the dividend behind the 20 and repeat the process: 209 / 42

Advancing to step 6:
209 divided by 42 is 4 with a remainder of 41.
Record the quotient 4 as the next digit in the result. 
Result so far: 8044.0
If we take 168 away from 209, we end up with 41.
Since there are no more digits in the dividend, we add a zero to the remainder making it 410, and continue the process.

On to step 7:
410 divided by 42 is 9 with a remainder of 32.
Use 9 as the next digit of our solution. 
Result so far: 8044.9
If we take 378 away from 410, we end up with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Step 8:
42 goes into 320 7 times with a remainder of 26.
Record the quotient 7 as the next digit in the result. 
Result so far: 8044.97
Subtracting 294 from 320 leaves us with 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Let's proceed to step 9:
If we divide 260 by 42, we get 6 and a remainder of 8.
The next digit of our result is 6. 
Result so far: 8044.976
If we take 252 away from 260, we end up with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

On to step 10:
If we divide 80 by 42, we get 1 and a remainder of 38.
Write down 1 as next digit of the result. 
Result so far: 8044.9761
The remainder is 38 after subtracting 42 from 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Step 11:
42 can be fit into 380 9 times, resulting in a remainder of 2.
Use 9 as the next digit of our solution. 
Result so far: 8044.97619
The remainder is 2 after subtracting 378 from 380.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Let's proceed to step 12:
42 goes into 20 0 times with a remainder of 20.
The next digit of our result is 0. 
Result so far: 8044.97619
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.

Going ahead to step 13:
The number 42 fits into 200 4 times, leaving a remainder of 32.
Put 4 as the next digit of the answer. 
Result so far: 8044.9761904
Subtracting 168 from 200 leaves us with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Moving on to step 14:
42 can be fit into 320 7 times, resulting in a remainder of 26.
Use 7 as the next digit of our solution. 
Result so far: 8044.97619047
Deduct 294 from 320 and we're left with 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

In conclusion, the division gives 8044.97619047 with a balance of 2.6e-08.