Solve 46/13

$$\frac { 46 } { 13 }$$

Evaluate

$$\frac{46}{13}\approx 3.538461538$$

Steps For Long Division Method

Use the 1^{st} digit 4 from dividend 46

$$\begin{array}{l}\phantom{13)}\phantom{1}\\13\overline{)46}\\\end{array}$$

Since 4 is less than 13, use the next digit 6 from dividend 46 and add 0 to the quotient

$$\begin{array}{l}\phantom{13)}0\phantom{2}\\13\overline{)46}\\\end{array}$$

Use the 2^{nd} digit 6 from dividend 46

$$\begin{array}{l}\phantom{13)}0\phantom{3}\\13\overline{)46}\\\end{array}$$

Find closest multiple of 13 to 46. We see that 3 \times 13 = 39 is the nearest. Now subtract 39 from 46 to get reminder 7. Add 3 to quotient.

$$\begin{array}{l}\phantom{13)}03\phantom{4}\\13\overline{)46}\\\phantom{13)}\underline{\phantom{}39\phantom{}}\\\phantom{13)9}7\\\end{array}$$

Since 7 is less than 13, stop the division. The reminder is 7. The topmost line 03 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 3.

$$\text{Quotient: }3 \text{Reminder: }7$$

Factor

$$\frac{2 \cdot 23}{13} = 3\frac{7}{13} = 3.5384615384615383$$