We look at the division of 177116 by 38 
We want to figure out the number of times 177116 can be divided by 38.

Moving on to step 1:
38 goes into 1 0 times with a remainder of 1.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 1 to get 1.
Include the next digit (7) from the dividend after 1, then repeat: 17 / 38

Step 2:
The number 38 fits into 17 0 times, leaving a remainder of 17.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 17 leaves us with 17.
Bring next digit (7) of the dividend behind the 17 and repeat the process: 177 / 38

Step 3:
When dividing 177 by 38, we get 4 with a remainder of 25.
Put 4 as the next digit of the answer. 
Result so far: 4.0
Subtract 152 from 177 to get 25.
Grab the next digit (1) from the dividend, add it to 25, then carry on: 251 / 38

Going ahead to step 4:
The number 38 fits into 251 6 times, leaving a remainder of 23.
Use 6 as the next digit of our solution. 
Result so far: 46.0
If we subtract 228 from 251, we get 23.
Take the next digit (1) from the dividend and append it to 23, then repeat: 231 / 38

Going ahead to step 5:
231 divided by 38 is 6 with a remainder of 3.
Record the quotient 6 as the next digit in the result. 
Result so far: 466.0
If we take 228 away from 231, we end up with 3.
Grab the next digit (6) from the dividend, add it to 3, then carry on: 36 / 38

Going ahead to step 6:
38 goes into 36 0 times with a remainder of 36.
The next digit of our result is 0. 
Result so far: 4660.0
Deduct 0 from 36 and we're left with 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Advancing to step 7:
When dividing 360 by 38, we get 9 with a remainder of 18.
Write down 9 as next digit of the result. 
Result so far: 4660.9
Subtract 342 from 360 to get 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

On to step 8:
180 divided by 38 is 4 with a remainder of 28.
Write down 4 as next digit of the result. 
Result so far: 4660.94
If we take 152 away from 180, we end up with 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Step 9:
280 divided by 38 is 7 with a remainder of 14.
The number 7 becomes the next digit in our result. 
Result so far: 4660.947
If we take 266 away from 280, we end up with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Step 10:
38 can be fit into 140 3 times, resulting in a remainder of 26.
Write down 3 as next digit of the result. 
Result so far: 4660.9473
The remainder is 26 after subtracting 114 from 140.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Step 11:
260 divided by 38 is 6 with a remainder of 32.
The number 6 becomes the next digit in our result. 
Result so far: 4660.94736
Subtract 228 from 260 to get 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Let's proceed to step 12:
38 goes into 320 8 times with a remainder of 16.
The next digit of our result is 8. 
Result so far: 4660.947368
Subtracting 304 from 320 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.

Step 13:
If we divide 160 by 38, we get 4 and a remainder of 8.
The next digit of our result is 4. 
Result so far: 4660.9473684
Subtract 152 from 160 to get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Going ahead to step 14:
80 divided by 38 is 2 with a remainder of 4.
Use 2 as the next digit of our solution. 
Result so far: 4660.94736842
Subtract 76 from 80 to get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

The final result is 4660.94736842 with a remainder of 4e-09.