437884 ÷ 55 
Our goal is to divide 437884 by 55.

Let's proceed to step 1:
55 goes into 4 0 times with a remainder of 4.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 4 to get 4.
Take the next digit (3) from the dividend and append it to 4, then repeat: 43 / 55

Advancing to step 2:
55 goes into 43 0 times with a remainder of 43.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 43 and we're left with 43.
Grab the next digit (7) from the dividend, add it to 43, then carry on: 437 / 55

On to step 3:
The number 55 fits into 437 7 times, leaving a remainder of 52.
Use 7 as the next digit of our solution. 
Result so far: 7.0
If we take 385 away from 437, we end up with 52.
Fetch the next digit (8) from the dividend, attach it to 52 and continue: 528 / 55

Let's proceed to step 4:
If we divide 528 by 55, we get 9 and a remainder of 33.
Use 9 as the next digit of our solution. 
Result so far: 79.0
If we take 495 away from 528, we end up with 33.
Include the next digit (8) from the dividend after 33, then repeat: 338 / 55

On to step 5:
The number 55 fits into 338 6 times, leaving a remainder of 8.
The number 6 becomes the next digit in our result. 
Result so far: 796.0
Deduct 330 from 338 and we're left with 8.
Include the next digit (4) from the dividend after 8, then repeat: 84 / 55

Advancing to step 6:
84 divided by 55 is 1 with a remainder of 29.
The number 1 becomes the next digit in our result. 
Result so far: 7961.0
If we subtract 55 from 84, we get 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

Moving on to step 7:
290 divided by 55 is 5 with a remainder of 15.
The next digit of our result is 5. 
Result so far: 7961.5
Subtract 275 from 290 to get 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Step 8:
If we divide 150 by 55, we get 2 and a remainder of 40.
The next digit of our result is 2. 
Result so far: 7961.52
Deduct 110 from 150 and we're left 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.

On to step 9:
When dividing 400 by 55, we get 7 with a remainder of 15.
Write down 7 as next digit of the result. 
Result so far: 7961.527
Subtract 385 from 400 to get 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Advancing to step 10:
55 can be fit into 150 2 times, resulting in a remainder of 40.
Record the quotient 2 as the next digit in the result. 
Result so far: 7961.5272
If we take 110 away from 150, we end up 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.

Advancing to step 11:
55 goes into 400 7 times with a remainder of 15.
Record the quotient 7 as the next digit in the result. 
Result so far: 7961.52727
Subtracting 385 from 400 leaves us with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

On to step 12:
55 goes into 150 2 times with a remainder of 40.
The number 2 becomes the next digit in our result. 
Result so far: 7961.527272
If we subtract 110 from 150, we get 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Step 13:
The number 55 fits into 400 7 times, leaving a remainder of 15.
The next digit of our result is 7. 
Result so far: 7961.5272727
Deduct 385 from 400 and we're left with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Moving on to step 14:
When dividing 150 by 55, we get 2 with a remainder of 40.
The number 2 becomes the next digit in our result. 
Result so far: 7961.52727272
Subtract 110 from 150 to get 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

After the division, we end up with 7961.52727272 and a remainder of 4e-08.