**Dividing 1 3/4 by 2 3/7**

To find the number by which 1 3/4 should be divided to get 2 3/7, we can follow the steps below:

Step 1: Convert the mixed numbers into improper fractions
First, we need to convert the mixed numbers 1 3/4 and 2 3/7 into improper fractions. To do this, we multiply the whole number by the denominator and add the numerator. The result is then placed over the denominator.

1 3/4 = (1 * 4 + 3) / 4 = 7/4
2 3/7 = (2 * 7 + 3) / 7 = 17/7

Now we have 7/4 and 17/7 as our fractions.

Step 2: Invert the divisor fraction
To divide fractions, we need to invert the divisor fraction. In this case, the divisor is 17/7, so we need to find its reciprocal.

Reciprocal of 17/7 = 7/17

Step 3: Multiply the dividend by the reciprocal of the divisor
To divide fractions, we need to multiply the dividend by the reciprocal of the divisor.

7/4 * 7/17 = (7 * 7) / (4 * 17) = 49/68

So, the result of dividing 1 3/4 by 2 3/7 is 49/68.

Step 4: Simplify the fraction (if needed)
The fraction 49/68 can be simplified by finding the greatest common divisor (GCD) of the numerator and denominator and dividing both by it.

The GCD of 49 and 68 is 1, so the fraction cannot be simplified any further.

Therefore, 1 3/4 should be divided by 2 3/7 to get 2 3/7 is equal to 49/68.