Solve 66/46

$$\frac { 66 } { 46 }$$

Evaluate

$$\frac{33}{23}\approx 1.434782609$$

Steps For Long Division Method

Use the 1^{st} digit 6 from dividend 66

$$\begin{array}{l}\phantom{46)}\phantom{1}\\46\overline{)66}\\\end{array}$$

Since 6 is less than 46, use the next digit 6 from dividend 66 and add 0 to the quotient

$$\begin{array}{l}\phantom{46)}0\phantom{2}\\46\overline{)66}\\\end{array}$$

Use the 2^{nd} digit 6 from dividend 66

$$\begin{array}{l}\phantom{46)}0\phantom{3}\\46\overline{)66}\\\end{array}$$

Find closest multiple of 46 to 66. We see that 1 \times 46 = 46 is the nearest. Now subtract 46 from 66 to get reminder 20. Add 1 to quotient.

$$\begin{array}{l}\phantom{46)}01\phantom{4}\\46\overline{)66}\\\phantom{46)}\underline{\phantom{}46\phantom{}}\\\phantom{46)}20\\\end{array}$$

Since 20 is less than 46, stop the division. The reminder is 20. The topmost line 01 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 1.

$$\text{Quotient: }1 \text{Reminder: }20$$

Factor

$$\frac{3 \cdot 11}{23} = 1\frac{10}{23} = 1.434782608695652$$