Step 1: Initialize the fibonacci sequence variables

Start with declaring variables for the fibonacci sequence, i.e., fib1 and fib2 representing the last two numbers in the sequence, starting from 0 and 1, and fibnext representing the next number in the sequence. Initialize these numbers to 0, 1, and 0 respectively.

let fib1 = 0;
let fib2 = 1;
let fibnext = 0;

Step 2: Loop until the criteria is met

Create a loop that continues until the next number in the fibonnaci sequence exceeds the upper limit for your projected range. The upper limit is passed as an argument to our function, findFibonacciNumbersRange(limit).

while (fibnext <= limit) {
 //Loop will continue till the fibonacci sequence exceeds the limit
}

Step 3: Compute the next Fibonacci number

Inside the loop, first update fibnext to be the sum of fib1 and fib2. Make fib1 the value of fib2, and fib2 the value of fibnext. This will keep the sequence going.

fibnext = fib1+ fib2;
fib1 = fib2;
fib2 = fibnext;

Step 4: Check if the current Fibonacci number fits into the desired range

Introduce a new variable start representing the lower limit of our desired range. If fibnext is greater than or equal to start and less than or equal to limit, push that number to our fibonacci sequence array.

if(fibnext >= start && fibnext <= limit) {
    //push the number to our fibonacci sequence array.
}

Step 5: Put it all together

Here's the full code that includes all steps:

function findFibonacciNumbersRange(start, limit) {
    let fib1 = 0;
    let fib2 = 1;
    let fibnext = 0;
    let fibonacciSequence = [];

    while (fibnext <= limit) {
        fibnext = fib1 + fib2;
        fib1 = fib2;
        fib2 = fibnext;
        if(fibnext >= start && fibnext <= limit) {
            fibonacciSequence.push(fibnext);
        }
     }

    return fibonacciSequence;
}

This function will return all fibonacci numbers that fall in the range specified by start and limit.