Solve 29,016/78

$$\frac { 29,016 } { 78 }$$

Evaluate

$$372$$

Steps For Long Division Method

Use the 1^{st} digit 2 from dividend 29016

$$\begin{array}{l}\phantom{78)}\phantom{1}\\78\overline{)29016}\\\end{array}$$

Since 2 is less than 78, use the next digit 9 from dividend 29016 and add 0 to the quotient

$$\begin{array}{l}\phantom{78)}0\phantom{2}\\78\overline{)29016}\\\end{array}$$

Use the 2^{nd} digit 9 from dividend 29016

$$\begin{array}{l}\phantom{78)}0\phantom{3}\\78\overline{)29016}\\\end{array}$$

Since 29 is less than 78, use the next digit 0 from dividend 29016 and add 0 to the quotient

$$\begin{array}{l}\phantom{78)}00\phantom{4}\\78\overline{)29016}\\\end{array}$$

Use the 3^{rd} digit 0 from dividend 29016

$$\begin{array}{l}\phantom{78)}00\phantom{5}\\78\overline{)29016}\\\end{array}$$

Find closest multiple of 78 to 290. We see that 3 \times 78 = 234 is the nearest. Now subtract 234 from 290 to get reminder 56. Add 3 to quotient.

$$\begin{array}{l}\phantom{78)}003\phantom{6}\\78\overline{)29016}\\\phantom{78)}\underline{\phantom{}234\phantom{99}}\\\phantom{78)9}56\\\end{array}$$

Use the 4^{th} digit 1 from dividend 29016

$$\begin{array}{l}\phantom{78)}003\phantom{7}\\78\overline{)29016}\\\phantom{78)}\underline{\phantom{}234\phantom{99}}\\\phantom{78)9}561\\\end{array}$$

Find closest multiple of 78 to 561. We see that 7 \times 78 = 546 is the nearest. Now subtract 546 from 561 to get reminder 15. Add 7 to quotient.

$$\begin{array}{l}\phantom{78)}0037\phantom{8}\\78\overline{)29016}\\\phantom{78)}\underline{\phantom{}234\phantom{99}}\\\phantom{78)9}561\\\phantom{78)}\underline{\phantom{9}546\phantom{9}}\\\phantom{78)99}15\\\end{array}$$

Use the 5^{th} digit 6 from dividend 29016

$$\begin{array}{l}\phantom{78)}0037\phantom{9}\\78\overline{)29016}\\\phantom{78)}\underline{\phantom{}234\phantom{99}}\\\phantom{78)9}561\\\phantom{78)}\underline{\phantom{9}546\phantom{9}}\\\phantom{78)99}156\\\end{array}$$

Find closest multiple of 78 to 156. We see that 2 \times 78 = 156 is the nearest. Now subtract 156 from 156 to get reminder 0. Add 2 to quotient.

$$\begin{array}{l}\phantom{78)}00372\phantom{10}\\78\overline{)29016}\\\phantom{78)}\underline{\phantom{}234\phantom{99}}\\\phantom{78)9}561\\\phantom{78)}\underline{\phantom{9}546\phantom{9}}\\\phantom{78)99}156\\\phantom{78)}\underline{\phantom{99}156\phantom{}}\\\phantom{78)99999}0\\\end{array}$$

Since 0 is less than 78, stop the division. The reminder is 0. The topmost line 00372 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 372.

$$\text{Quotient: }372 \text{Reminder: }0$$

Factor

$$2^{2}\times 3\times 31$$