689165 ÷ 42 
We're looking to find how many times 42 goes into 689165.

Going ahead to step 1:
The number 42 fits into 6 0 times, leaving a remainder of 6.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 6, we get 6.
Bring next digit (8) of the dividend behind the 6 and repeat the process: 68 / 42

Going ahead to step 2:
The number 42 fits into 68 1 times, leaving a remainder of 26.
Put 1 as the next digit of the answer. 
Result so far: 1.0
If we take 42 away from 68, we end up with 26.
Bring next digit (9) of the dividend behind the 26 and repeat the process: 269 / 42

Moving on to step 3:
269 divided by 42 is 6 with a remainder of 17.
The number 6 becomes the next digit in our result. 
Result so far: 16.0
If we take 252 away from 269, we end up with 17.
Grab the next digit (1) from the dividend, add it to 17, then carry on: 171 / 42

Moving on to step 4:
If we divide 171 by 42, we get 4 and a remainder of 3.
Record the quotient 4 as the next digit in the result. 
Result so far: 164.0
If we subtract 168 from 171, we get 3.
Grab the next digit (6) from the dividend, add it to 3, then carry on: 36 / 42

Advancing to step 5:
42 goes into 36 0 times with a remainder of 36.
Put 0 as the next digit of the answer. 
Result so far: 1640.0
Subtract 0 from 36 to get 36.
Fetch the next digit (5) from the dividend, attach it to 36 and continue: 365 / 42

Advancing to step 6:
If we divide 365 by 42, we get 8 and a remainder of 29.
The next digit of our result is 8. 
Result so far: 16408.0
Deduct 336 from 365 and we're left with 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

Going ahead to step 7:
If we divide 290 by 42, we get 6 and a remainder of 38.
Put 6 as the next digit of the answer. 
Result so far: 16408.6
The remainder is 38 after subtracting 252 from 290.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

On to step 8:
When dividing 380 by 42, we get 9 with a remainder of 2.
The number 9 becomes the next digit in our result. 
Result so far: 16408.69
Deduct 378 from 380 and we're left with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

On to step 9:
42 goes into 20 0 times with a remainder of 20.
Use 0 as the next digit of our solution. 
Result so far: 16408.69
Subtract 0 from 20 to get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Let's proceed to step 10:
If we divide 200 by 42, we get 4 and a remainder of 32.
Record the quotient 4 as the next digit in the result. 
Result so far: 16408.6904
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.

Going ahead to step 11:
The number 42 fits into 320 7 times, leaving a remainder of 26.
Put 7 as the next digit of the answer. 
Result so far: 16408.69047
If we take 294 away from 320, we end up 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 12:
The number 42 fits into 260 6 times, leaving a remainder of 8.
Record the quotient 6 as the next digit in the result. 
Result so far: 16408.690476
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 13:
If we divide 80 by 42, we get 1 and a remainder of 38.
Use 1 as the next digit of our solution. 
Result so far: 16408.6904761
If we take 42 away from 80, we end up with 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

On to step 14:
42 goes into 380 9 times with a remainder of 2.
The next digit of our result is 9. 
Result so far: 16408.69047619
Deduct 378 from 380 and we're left with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

After the division, we end up with 16408.69047619 and a remainder of 2e-09.