278546 ÷ 38 
We want to figure out the number of times 278546 can be divided by 38.

Step 1:
If we divide 2 by 38, we get 0 and a remainder of 2.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 2 leaves us with 2.
Append the next digit (7) from the dividend to 2 and continue with: 27 / 38

Moving on to step 2:
The number 38 fits into 27 0 times, leaving a remainder of 27.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 27 to get 27.
Grab the next digit (8) from the dividend, add it to 27, then carry on: 278 / 38

Step 3:
The number 38 fits into 278 7 times, leaving a remainder of 12.
The number 7 becomes the next digit in our result. 
Result so far: 7.0
If we take 266 away from 278, we end up with 12.
Grab the next digit (5) from the dividend, add it to 12, then carry on: 125 / 38

Let's proceed to step 4:
38 can be fit into 125 3 times, resulting in a remainder of 11.
Use 3 as the next digit of our solution. 
Result so far: 73.0
The remainder is 11 after subtracting 114 from 125.
Fetch the next digit (4) from the dividend, attach it to 11 and continue: 114 / 38

Going ahead to step 5:
When dividing 114 by 38, we get 3 with a remainder of 0.
The number 3 becomes the next digit in our result. 
Result so far: 733.0
The remainder is 0 after subtracting 114 from 114.
Fetch the next digit (6) from the dividend, attach it to 0 and continue: 6 / 38

Step 6:
38 goes into 6 0 times with a remainder of 6.
The number 0 becomes the next digit in our result. 
Result so far: 7330.0
Subtract 0 from 6 to get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Let's proceed to step 7:
The number 38 fits into 60 1 times, leaving a remainder of 22.
Write down 1 as next digit of the result. 
Result so far: 7330.1
The remainder is 22 after subtracting 38 from 60.
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 8:
38 can be fit into 220 5 times, resulting in a remainder of 30.
Record the quotient 5 as the next digit in the result. 
Result so far: 7330.15
If we subtract 190 from 220, we get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Going ahead to step 9:
300 divided by 38 is 7 with a remainder of 34.
Put 7 as the next digit of the answer. 
Result so far: 7330.157
Subtract 266 from 300 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.

Advancing to step 10:
340 divided by 38 is 8 with a remainder of 36.
Record the quotient 8 as the next digit in the result. 
Result so far: 7330.1578
Deduct 304 from 340 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.

Moving on to step 11:
If we divide 360 by 38, we get 9 and a remainder of 18.
Record the quotient 9 as the next digit in the result. 
Result so far: 7330.15789
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.

Advancing to step 12:
38 goes into 180 4 times with a remainder of 28.
Write down 4 as next digit of the result. 
Result so far: 7330.157894
Deduct 152 from 180 and we're left 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.

Going ahead to step 13:
The number 38 fits into 280 7 times, leaving a remainder of 14.
Use 7 as the next digit of our solution. 
Result so far: 7330.1578947
The remainder is 14 after subtracting 266 from 280.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Moving on to step 14:
If we divide 140 by 38, we get 3 and a remainder of 26.
Record the quotient 3 as the next digit in the result. 
Result so far: 7330.15789473
Deduct 114 from 140 and we're left 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.

The final result is 7330.15789473 with a remainder of 2.6e-08.