Estimation:
46 ÷ 6,730 ≈
What you want to do is round the two factors to your ten's place. Then divide.
50 ÷ 6,730 ≈ 0.01 rounded to the hundreds place. 0.074294205 the entire answer without being rounded.
Quotient:
46 ÷ 6,725 = 0.07 rounded to the hundreds place. 0.00684014869 the entire answer without being rounded.