55377774 ÷ 638 
We want to figure out the number of times 55377774 can be divided by 638.

Moving on to step 1:
If we divide 5 by 638, we get 0 and a remainder of 5.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 5 and we're left with 5.
Include the next digit (5) from the dividend after 5, then repeat: 55 / 638

Moving on to step 2:
638 goes into 55 0 times with a remainder of 55.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 55, we end up with 55.
Include the next digit (3) from the dividend after 55, then repeat: 553 / 638

Going ahead to step 3:
638 goes into 553 0 times with a remainder of 553.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 553 after subtracting 0 from 553.
Take the next digit (7) from the dividend and append it to 553, then repeat: 5537 / 638

Advancing to step 4:
The number 638 fits into 5537 8 times, leaving a remainder of 433.
Record the quotient 8 as the next digit in the result. 
Result so far: 8.0
If we take 5104 away from 5537, we end up with 433.
Fetch the next digit (7) from the dividend, attach it to 433 and continue: 4337 / 638

Let's proceed to step 5:
638 can be fit into 4337 6 times, resulting in a remainder of 509.
Put 6 as the next digit of the answer. 
Result so far: 86.0
Subtract 3828 from 4337 to get 509.
Include the next digit (7) from the dividend after 509, then repeat: 5097 / 638

Going ahead to step 6:
638 goes into 5097 7 times with a remainder of 631.
Record the quotient 7 as the next digit in the result. 
Result so far: 867.0
If we take 4466 away from 5097, we end up with 631.
Grab the next digit (7) from the dividend, add it to 631, then carry on: 6317 / 638

Advancing to step 7:
638 goes into 6317 9 times with a remainder of 575.
Write down 9 as next digit of the result. 
Result so far: 8679.0
Subtract 5742 from 6317 to get 575.
Grab the next digit (4) from the dividend, add it to 575, then carry on: 5754 / 638

Let's proceed to step 8:
If we divide 5754 by 638, we get 9 and a remainder of 12.
Put 9 as the next digit of the answer. 
Result so far: 86799.0
Subtracting 5742 from 5754 leaves us with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Advancing to step 9:
638 can be fit into 120 0 times, resulting in a remainder of 120.
Put 0 as the next digit of the answer. 
Result so far: 86799.0
If we take 0 away from 120, we end up with 120.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1200, and continue the process.

Step 10:
638 goes into 1200 1 times with a remainder of 562.
Write down 1 as next digit of the result. 
Result so far: 86799.01
Subtracting 638 from 1200 leaves us with 562.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5620, and continue the process.

Advancing to step 11:
If we divide 5620 by 638, we get 8 and a remainder of 516.
Use 8 as the next digit of our solution. 
Result so far: 86799.018
Subtract 5104 from 5620 to get 516.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5160, and continue the process.

Going ahead to step 12:
The number 638 fits into 5160 8 times, leaving a remainder of 56.
Use 8 as the next digit of our solution. 
Result so far: 86799.0188
If we take 5104 away from 5160, we end up 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.

In conclusion, the division gives 86799.0188 with a balance of 0.00056.