177649 ÷ 42 
We want to figure out the number of times 177649 can be divided by 42.

Step 1:
42 can be fit into 1 0 times, resulting in a remainder of 1.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 1 leaves us with 1.
Append the next digit (7) from the dividend to 1 and continue with: 17 / 42

Moving on to step 2:
When dividing 17 by 42, we get 0 with a remainder of 17.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 17, we get 17.
Bring next digit (7) of the dividend behind the 17 and repeat the process: 177 / 42

Advancing to step 3:
If we divide 177 by 42, we get 4 and a remainder of 9.
Record the quotient 4 as the next digit in the result. 
Result so far: 4.0
Deduct 168 from 177 and we're left with 9.
Fetch the next digit (6) from the dividend, attach it to 9 and continue: 96 / 42

Moving on to step 4:
When dividing 96 by 42, we get 2 with a remainder of 12.
Put 2 as the next digit of the answer. 
Result so far: 42.0
Subtract 84 from 96 to get 12.
Append the next digit (4) from the dividend to 12 and continue with: 124 / 42

Moving on to step 5:
If we divide 124 by 42, we get 2 and a remainder of 40.
Put 2 as the next digit of the answer. 
Result so far: 422.0
Subtracting 84 from 124 leaves us with 40.
Fetch the next digit (9) from the dividend, attach it to 40 and continue: 409 / 42

Let's proceed to step 6:
When dividing 409 by 42, we get 9 with a remainder of 31.
The next digit of our result is 9. 
Result so far: 4229.0
If we subtract 378 from 409, we get 31.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

Let's proceed to step 7:
310 divided by 42 is 7 with a remainder of 16.
The number 7 becomes the next digit in our result. 
Result so far: 4229.7
Deduct 294 from 310 and we're left 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 8:
The number 42 fits into 160 3 times, leaving a remainder of 34.
Write down 3 as next digit of the result. 
Result so far: 4229.73
If we subtract 126 from 160, we 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.

Let's proceed to step 9:
If we divide 340 by 42, we get 8 and a remainder of 4.
Use 8 as the next digit of our solution. 
Result so far: 4229.738
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.

Moving on to step 10:
40 divided by 42 is 0 with a remainder of 40.
Record the quotient 0 as the next digit in the result. 
Result so far: 4229.738
Subtracting 0 from 40 leaves us 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.

Moving on to step 11:
When dividing 400 by 42, we get 9 with a remainder of 22.
The next digit of our result is 9. 
Result so far: 4229.73809
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.

Advancing to step 12:
The number 42 fits into 220 5 times, leaving a remainder of 10.
Record the quotient 5 as the next digit in the result. 
Result so far: 4229.738095
The remainder is 10 after subtracting 210 from 220.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Let's proceed to step 13:
100 divided by 42 is 2 with a remainder of 16.
Put 2 as the next digit of the answer. 
Result so far: 4229.7380952
If we subtract 84 from 100, we get 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 14:
When dividing 160 by 42, we get 3 with a remainder of 34.
Write down 3 as next digit of the result. 
Result so far: 4229.73809523
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.

The final outcome is 4229.73809523, with a leftover of 3.4e-08.