To find the number that goes in the box to make the equation true, we will need to identify the divisor. The equation given is:
[tex]\[ 34,000 \div \divisor = 340 \][/tex]
We need to isolate the divisor. To do this, think about what operation would reverse the division. We can multiply both sides of the equation by the divisor:
[tex]\[ \divisor \times (34,000 \div \divisor) = 340 \times \divisor \][/tex]
This simplifies to:
[tex]\[ 34,000 = 340 \times \divisor \][/tex]
Now, we can solve for the divisor. We isolate the divisor by dividing both sides of the equation by 340:
[tex]\[ \divisor = \frac{34,000}{340} \][/tex]
After performing the division, we find that:
[tex]\[ \divisor = 100 \][/tex]
So, the number that goes in the box to make the equation true is:
[tex]\[ 100 \][/tex]
The correct answer is:
[tex]\[ 100 \][/tex]