Solve 489div13

$$489 \div 13$$

Evaluate

$$\frac{489}{13}\approx 37.615384615$$

Steps For Long Division Method

Use the 1^{st} digit 4 from dividend 489

$$\begin{array}{l}\phantom{13)}\phantom{1}\\13\overline{)489}\\\end{array}$$

Since 4 is less than 13, use the next digit 8 from dividend 489 and add 0 to the quotient

$$\begin{array}{l}\phantom{13)}0\phantom{2}\\13\overline{)489}\\\end{array}$$

Use the 2^{nd} digit 8 from dividend 489

$$\begin{array}{l}\phantom{13)}0\phantom{3}\\13\overline{)489}\\\end{array}$$

Find closest multiple of 13 to 48. We see that 3 \times 13 = 39 is the nearest. Now subtract 39 from 48 to get reminder 9. Add 3 to quotient.

$$\begin{array}{l}\phantom{13)}03\phantom{4}\\13\overline{)489}\\\phantom{13)}\underline{\phantom{}39\phantom{9}}\\\phantom{13)9}9\\\end{array}$$

Use the 3^{rd} digit 9 from dividend 489

$$\begin{array}{l}\phantom{13)}03\phantom{5}\\13\overline{)489}\\\phantom{13)}\underline{\phantom{}39\phantom{9}}\\\phantom{13)9}99\\\end{array}$$

Find closest multiple of 13 to 99. We see that 7 \times 13 = 91 is the nearest. Now subtract 91 from 99 to get reminder 8. Add 7 to quotient.

$$\begin{array}{l}\phantom{13)}037\phantom{6}\\13\overline{)489}\\\phantom{13)}\underline{\phantom{}39\phantom{9}}\\\phantom{13)9}99\\\phantom{13)}\underline{\phantom{9}91\phantom{}}\\\phantom{13)99}8\\\end{array}$$

Since 8 is less than 13, stop the division. The reminder is 8. The topmost line 037 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 37.

$$\text{Quotient: }37 \text{Reminder: }8$$

Factor

$$\frac{3 \cdot 163}{13} = 37\frac{8}{13} = 37.61538461538461$$