677374 ÷ 42 
We're looking to find how many times 42 goes into 677374.

Advancing to step 1:
6 divided by 42 is 0 with a remainder of 6.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 6 leaves us with 6.
Grab the next digit (7) from the dividend, add it to 6, then carry on: 67 / 42

Advancing to step 2:
42 goes into 67 1 times with a remainder of 25.
Use 1 as the next digit of our solution. 
Result so far: 1.0
If we subtract 42 from 67, we get 25.
Include the next digit (7) from the dividend after 25, then repeat: 257 / 42

On to step 3:
If we divide 257 by 42, we get 6 and a remainder of 5.
Record the quotient 6 as the next digit in the result. 
Result so far: 16.0
If we take 252 away from 257, we end up with 5.
Append the next digit (3) from the dividend to 5 and continue with: 53 / 42

Let's proceed to step 4:
The number 42 fits into 53 1 times, leaving a remainder of 11.
The number 1 becomes the next digit in our result. 
Result so far: 161.0
Deduct 42 from 53 and we're left with 11.
Fetch the next digit (7) from the dividend, attach it to 11 and continue: 117 / 42

Let's proceed to step 5:
The number 42 fits into 117 2 times, leaving a remainder of 33.
Use 2 as the next digit of our solution. 
Result so far: 1612.0
Deduct 84 from 117 and we're left with 33.
Bring next digit (4) of the dividend behind the 33 and repeat the process: 334 / 42

Moving on to step 6:
334 divided by 42 is 7 with a remainder of 40.
Put 7 as the next digit of the answer. 
Result so far: 16127.0
The remainder is 40 after subtracting 294 from 334.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

On to step 7:
42 goes into 400 9 times with a remainder of 22.
Write down 9 as next digit of the result. 
Result so far: 16127.9
If we subtract 378 from 400, we get 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Moving on to step 8:
If we divide 220 by 42, we get 5 and a remainder of 10.
Write down 5 as next digit of the result. 
Result so far: 16127.95
If we subtract 210 from 220, we get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Advancing to step 9:
When dividing 100 by 42, we get 2 with a remainder of 16.
The number 2 becomes the next digit in our result. 
Result so far: 16127.952
If we take 84 away from 100, we end up with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Let's proceed to step 10:
42 goes into 160 3 times with a remainder of 34.
The next digit of our result is 3. 
Result so far: 16127.9523
Subtract 126 from 160 to get 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Step 11:
When dividing 340 by 42, we get 8 with a remainder of 4.
Record the quotient 8 as the next digit in the result. 
Result so far: 16127.95238
Deduct 336 from 340 and we're left with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Step 12:
If we divide 40 by 42, we get 0 and a remainder of 40.
The number 0 becomes the next digit in our result. 
Result so far: 16127.95238
Subtract 0 from 40 to get 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Moving on to step 13:
400 divided by 42 is 9 with a remainder of 22.
The next digit of our result is 9. 
Result so far: 16127.9523809
Subtract 378 from 400 to get 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Moving on to step 14:
42 can be fit into 220 5 times, resulting in a remainder of 10.
The number 5 becomes the next digit in our result. 
Result so far: 16127.95238095
If we subtract 210 from 220, we get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

In conclusion, the division gives 16127.95238095 with a balance of 1e-08.