Solve 78967/15

$$\frac { 78967 } { 15 }$$

Evaluate

$$\frac{78967}{15}\approx 5264.466666667$$

Steps For Long Division Method

Use the 1^{st} digit 7 from dividend 78967

$$\begin{array}{l}\phantom{15)}\phantom{1}\\15\overline{)78967}\\\end{array}$$

Since 7 is less than 15, use the next digit 8 from dividend 78967 and add 0 to the quotient

$$\begin{array}{l}\phantom{15)}0\phantom{2}\\15\overline{)78967}\\\end{array}$$

Use the 2^{nd} digit 8 from dividend 78967

$$\begin{array}{l}\phantom{15)}0\phantom{3}\\15\overline{)78967}\\\end{array}$$

Find closest multiple of 15 to 78. We see that 5 \times 15 = 75 is the nearest. Now subtract 75 from 78 to get reminder 3. Add 5 to quotient.

$$\begin{array}{l}\phantom{15)}05\phantom{4}\\15\overline{)78967}\\\phantom{15)}\underline{\phantom{}75\phantom{999}}\\\phantom{15)9}3\\\end{array}$$

Use the 3^{rd} digit 9 from dividend 78967

$$\begin{array}{l}\phantom{15)}05\phantom{5}\\15\overline{)78967}\\\phantom{15)}\underline{\phantom{}75\phantom{999}}\\\phantom{15)9}39\\\end{array}$$

Find closest multiple of 15 to 39. We see that 2 \times 15 = 30 is the nearest. Now subtract 30 from 39 to get reminder 9. Add 2 to quotient.

$$\begin{array}{l}\phantom{15)}052\phantom{6}\\15\overline{)78967}\\\phantom{15)}\underline{\phantom{}75\phantom{999}}\\\phantom{15)9}39\\\phantom{15)}\underline{\phantom{9}30\phantom{99}}\\\phantom{15)99}9\\\end{array}$$

Use the 4^{th} digit 6 from dividend 78967

$$\begin{array}{l}\phantom{15)}052\phantom{7}\\15\overline{)78967}\\\phantom{15)}\underline{\phantom{}75\phantom{999}}\\\phantom{15)9}39\\\phantom{15)}\underline{\phantom{9}30\phantom{99}}\\\phantom{15)99}96\\\end{array}$$

Find closest multiple of 15 to 96. We see that 6 \times 15 = 90 is the nearest. Now subtract 90 from 96 to get reminder 6. Add 6 to quotient.

$$\begin{array}{l}\phantom{15)}0526\phantom{8}\\15\overline{)78967}\\\phantom{15)}\underline{\phantom{}75\phantom{999}}\\\phantom{15)9}39\\\phantom{15)}\underline{\phantom{9}30\phantom{99}}\\\phantom{15)99}96\\\phantom{15)}\underline{\phantom{99}90\phantom{9}}\\\phantom{15)999}6\\\end{array}$$

Use the 5^{th} digit 7 from dividend 78967

$$\begin{array}{l}\phantom{15)}0526\phantom{9}\\15\overline{)78967}\\\phantom{15)}\underline{\phantom{}75\phantom{999}}\\\phantom{15)9}39\\\phantom{15)}\underline{\phantom{9}30\phantom{99}}\\\phantom{15)99}96\\\phantom{15)}\underline{\phantom{99}90\phantom{9}}\\\phantom{15)999}67\\\end{array}$$

Find closest multiple of 15 to 67. We see that 4 \times 15 = 60 is the nearest. Now subtract 60 from 67 to get reminder 7. Add 4 to quotient.

$$\begin{array}{l}\phantom{15)}05264\phantom{10}\\15\overline{)78967}\\\phantom{15)}\underline{\phantom{}75\phantom{999}}\\\phantom{15)9}39\\\phantom{15)}\underline{\phantom{9}30\phantom{99}}\\\phantom{15)99}96\\\phantom{15)}\underline{\phantom{99}90\phantom{9}}\\\phantom{15)999}67\\\phantom{15)}\underline{\phantom{999}60\phantom{}}\\\phantom{15)9999}7\\\end{array}$$

Since 7 is less than 15, stop the division. The reminder is 7. The topmost line 05264 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 5264.

$$\text{Quotient: }5264 \text{Reminder: }7$$

Factor

$$\frac{7 \cdot 29 \cdot 389}{3 \cdot 5} = 5264\frac{7}{15} = 5264.466666666666$$