We're dividing 442087 by 78 
We're looking to find how many times 78 goes into 442087.

Moving on to step 1:
When dividing 4 by 78, we get 0 with a remainder of 4.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 4 to get 4.
Fetch the next digit (4) from the dividend, attach it to 4 and continue: 44 / 78

On to step 2:
78 can be fit into 44 0 times, resulting in a remainder of 44.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 44 leaves us with 44.
Append the next digit (2) from the dividend to 44 and continue with: 442 / 78

On to step 3:
78 goes into 442 5 times with a remainder of 52.
Use 5 as the next digit of our solution. 
Result so far: 5.0
Deduct 390 from 442 and we're left with 52.
Include the next digit (0) from the dividend after 52, then repeat: 520 / 78

Moving on to step 4:
78 can be fit into 520 6 times, resulting in a remainder of 52.
Put 6 as the next digit of the answer. 
Result so far: 56.0
The remainder is 52 after subtracting 468 from 520.
Append the next digit (8) from the dividend to 52 and continue with: 528 / 78

Going ahead to step 5:
78 goes into 528 6 times with a remainder of 60.
Record the quotient 6 as the next digit in the result. 
Result so far: 566.0
Deduct 468 from 528 and we're left with 60.
Include the next digit (7) from the dividend after 60, then repeat: 607 / 78

On to step 6:
When dividing 607 by 78, we get 7 with a remainder of 61.
Use 7 as the next digit of our solution. 
Result so far: 5667.0
Deduct 546 from 607 and we're left with 61.
Since there are no more digits in the dividend, we add a zero to the remainder making it 610, and continue the process.

Step 7:
The number 78 fits into 610 7 times, leaving a remainder of 64.
The number 7 becomes the next digit in our result. 
Result so far: 5667.7
Subtracting 546 from 610 leaves us with 64.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

Step 8:
When dividing 640 by 78, we get 8 with a remainder of 16.
The number 8 becomes the next digit in our result. 
Result so far: 5667.78
The remainder is 16 after subtracting 624 from 640.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Going ahead to step 9:
78 goes into 160 2 times with a remainder of 4.
Write down 2 as next digit of the result. 
Result so far: 5667.782
The remainder is 4 after subtracting 156 from 160.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

On to step 10:
When dividing 40 by 78, we get 0 with a remainder of 40.
The number 0 becomes the next digit in our result. 
Result so far: 5667.782
The remainder is 40 after subtracting 0 from 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Advancing to step 11:
400 divided by 78 is 5 with a remainder of 10.
Put 5 as the next digit of the answer. 
Result so far: 5667.78205
Subtracting 390 from 400 leaves us with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Moving on to step 12:
If we divide 100 by 78, we get 1 and a remainder of 22.
Use 1 as the next digit of our solution. 
Result so far: 5667.782051
If we take 78 away from 100, we end up with 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Let's proceed to step 13:
78 goes into 220 2 times with a remainder of 64.
Use 2 as the next digit of our solution. 
Result so far: 5667.7820512
The remainder is 64 after subtracting 156 from 220.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

Let's proceed to step 14:
640 divided by 78 is 8 with a remainder of 16.
Put 8 as the next digit of the answer. 
Result so far: 5667.78205128
Subtracting 624 from 640 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.

After the division, we end up with 5667.78205128 and a remainder of 1.6e-08.