679657 ÷ 42 
We're looking to find how many times 42 goes into 679657.

Let's proceed to step 1:
42 can be fit into 6 0 times, resulting in a remainder of 6.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 6 after subtracting 0 from 6.
Bring next digit (7) of the dividend behind the 6 and repeat the process: 67 / 42

Going ahead to step 2:
42 can be fit into 67 1 times, resulting in a remainder of 25.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
If we subtract 42 from 67, we get 25.
Fetch the next digit (9) from the dividend, attach it to 25 and continue: 259 / 42

Step 3:
When dividing 259 by 42, we get 6 with a remainder of 7.
Use 6 as the next digit of our solution. 
Result so far: 16.0
If we subtract 252 from 259, we get 7.
Include the next digit (6) from the dividend after 7, then repeat: 76 / 42

On to step 4:
42 can be fit into 76 1 times, resulting in a remainder of 34.
Record the quotient 1 as the next digit in the result. 
Result so far: 161.0
Deduct 42 from 76 and we're left with 34.
Append the next digit (5) from the dividend to 34 and continue with: 345 / 42

Going ahead to step 5:
If we divide 345 by 42, we get 8 and a remainder of 9.
Put 8 as the next digit of the answer. 
Result so far: 1618.0
Subtracting 336 from 345 leaves us with 9.
Fetch the next digit (7) from the dividend, attach it to 9 and continue: 97 / 42

Let's proceed to step 6:
42 can be fit into 97 2 times, resulting in a remainder of 13.
Write down 2 as next digit of the result. 
Result so far: 16182.0
Subtract 84 from 97 to get 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Advancing to step 7:
The number 42 fits into 130 3 times, leaving a remainder of 4.
Record the quotient 3 as the next digit in the result. 
Result so far: 16182.3
Subtracting 126 from 130 leaves us 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.

Moving on to step 8:
The number 42 fits into 40 0 times, leaving a remainder of 40.
Write down 0 as next digit of the result. 
Result so far: 16182.3
Deduct 0 from 40 and we're left with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Let's proceed to step 9:
42 can be fit into 400 9 times, resulting in a remainder of 22.
The next digit of our result is 9. 
Result so far: 16182.309
The remainder is 22 after subtracting 378 from 400.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Advancing to step 10:
42 goes into 220 5 times with a remainder of 10.
Put 5 as the next digit of the answer. 
Result so far: 16182.3095
Deduct 210 from 220 and we're left with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Going ahead to step 11:
42 can be fit into 100 2 times, resulting in a remainder of 16.
Use 2 as the next digit of our solution. 
Result so far: 16182.30952
Subtracting 84 from 100 leaves us 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.

Moving on to step 12:
42 can be fit into 160 3 times, resulting in a remainder of 34.
Record the quotient 3 as the next digit in the result. 
Result so far: 16182.309523
If we take 126 away from 160, we end up with 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Advancing to step 13:
42 goes into 340 8 times with a remainder of 4.
The number 8 becomes the next digit in our result. 
Result so far: 16182.3095238
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.

On to step 14:
40 divided by 42 is 0 with a remainder of 40.
The next digit of our result is 0. 
Result so far: 16182.3095238
Deduct 0 from 40 and we're left with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

In conclusion, the division gives 16182.3095238 with a balance of 4e-08.