We're dividing 42290 by 78 
We're looking to find how many times 78 goes into 42290.

Advancing to step 1:
If we divide 4 by 78, we get 0 and a remainder of 4.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 4 leaves us with 4.
Grab the next digit (2) from the dividend, add it to 4, then carry on: 42 / 78

Let's proceed to step 2:
42 divided by 78 is 0 with a remainder of 42.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 42 and we're left with 42.
Include the next digit (2) from the dividend after 42, then repeat: 422 / 78

Advancing to step 3:
The number 78 fits into 422 5 times, leaving a remainder of 32.
The next digit of our result is 5. 
Result so far: 5.0
If we take 390 away from 422, we end up with 32.
Grab the next digit (9) from the dividend, add it to 32, then carry on: 329 / 78

Step 4:
78 can be fit into 329 4 times, resulting in a remainder of 17.
The next digit of our result is 4. 
Result so far: 54.0
The remainder is 17 after subtracting 312 from 329.
Take the next digit (0) from the dividend and append it to 17, then repeat: 170 / 78

Advancing to step 5:
If we divide 170 by 78, we get 2 and a remainder of 14.
The next digit of our result is 2. 
Result so far: 542.0
If we take 156 away from 170, 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 6:
78 can be fit into 140 1 times, resulting in a remainder of 62.
Write down 1 as next digit of the result. 
Result so far: 542.1
If we subtract 78 from 140, we get 62.
Since there are no more digits in the dividend, we add a zero to the remainder making it 620, and continue the process.

Moving on to step 7:
620 divided by 78 is 7 with a remainder of 74.
Record the quotient 7 as the next digit in the result. 
Result so far: 542.17
Subtract 546 from 620 to get 74.
Since there are no more digits in the dividend, we add a zero to the remainder making it 740, and continue the process.

Advancing to step 8:
When dividing 740 by 78, we get 9 with a remainder of 38.
Put 9 as the next digit of the answer. 
Result so far: 542.179
Subtract 702 from 740 to get 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 9:
380 divided by 78 is 4 with a remainder of 68.
The next digit of our result is 4. 
Result so far: 542.1794
Deduct 312 from 380 and we're left with 68.
Since there are no more digits in the dividend, we add a zero to the remainder making it 680, and continue the process.

Going ahead to step 10:
When dividing 680 by 78, we get 8 with a remainder of 56.
Record the quotient 8 as the next digit in the result. 
Result so far: 542.17948
Deduct 624 from 680 and we're left with 56.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

Step 11:
560 divided by 78 is 7 with a remainder of 14.
The next digit of our result is 7. 
Result so far: 542.179487
Subtracting 546 from 560 leaves us 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.

Moving on to step 12:
If we divide 140 by 78, we get 1 and a remainder of 62.
Put 1 as the next digit of the answer. 
Result so far: 542.1794871
If we subtract 78 from 140, we get 62.
Since there are no more digits in the dividend, we add a zero to the remainder making it 620, and continue the process.

Going ahead to step 13:
78 can be fit into 620 7 times, resulting in a remainder of 74.
Write down 7 as next digit of the result. 
Result so far: 542.17948717
The remainder is 74 after subtracting 546 from 620.
Since there are no more digits in the dividend, we add a zero to the remainder making it 740, and continue the process.

The final outcome is 542.17948717, with a leftover of 7.4e-08.