Solve 9408:12=

$$9408 : 12 =$$

Evaluate

$$784$$

Steps For Long Division Method

Use the 1^{st} digit 9 from dividend 9408

$$\begin{array}{l}\phantom{12)}\phantom{1}\\12\overline{)9408}\\\end{array}$$

Since 9 is less than 12, use the next digit 4 from dividend 9408 and add 0 to the quotient

$$\begin{array}{l}\phantom{12)}0\phantom{2}\\12\overline{)9408}\\\end{array}$$

Use the 2^{nd} digit 4 from dividend 9408

$$\begin{array}{l}\phantom{12)}0\phantom{3}\\12\overline{)9408}\\\end{array}$$

Find closest multiple of 12 to 94. We see that 7 \times 12 = 84 is the nearest. Now subtract 84 from 94 to get reminder 10. Add 7 to quotient.

$$\begin{array}{l}\phantom{12)}07\phantom{4}\\12\overline{)9408}\\\phantom{12)}\underline{\phantom{}84\phantom{99}}\\\phantom{12)}10\\\end{array}$$

Use the 3^{rd} digit 0 from dividend 9408

$$\begin{array}{l}\phantom{12)}07\phantom{5}\\12\overline{)9408}\\\phantom{12)}\underline{\phantom{}84\phantom{99}}\\\phantom{12)}100\\\end{array}$$

Find closest multiple of 12 to 100. We see that 8 \times 12 = 96 is the nearest. Now subtract 96 from 100 to get reminder 4. Add 8 to quotient.

$$\begin{array}{l}\phantom{12)}078\phantom{6}\\12\overline{)9408}\\\phantom{12)}\underline{\phantom{}84\phantom{99}}\\\phantom{12)}100\\\phantom{12)}\underline{\phantom{9}96\phantom{9}}\\\phantom{12)99}4\\\end{array}$$

Use the 4^{th} digit 8 from dividend 9408

$$\begin{array}{l}\phantom{12)}078\phantom{7}\\12\overline{)9408}\\\phantom{12)}\underline{\phantom{}84\phantom{99}}\\\phantom{12)}100\\\phantom{12)}\underline{\phantom{9}96\phantom{9}}\\\phantom{12)99}48\\\end{array}$$

Find closest multiple of 12 to 48. We see that 4 \times 12 = 48 is the nearest. Now subtract 48 from 48 to get reminder 0. Add 4 to quotient.

$$\begin{array}{l}\phantom{12)}0784\phantom{8}\\12\overline{)9408}\\\phantom{12)}\underline{\phantom{}84\phantom{99}}\\\phantom{12)}100\\\phantom{12)}\underline{\phantom{9}96\phantom{9}}\\\phantom{12)99}48\\\phantom{12)}\underline{\phantom{99}48\phantom{}}\\\phantom{12)9999}0\\\end{array}$$

Since 0 is less than 12, stop the division. The reminder is 0. The topmost line 0784 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 784.

$$\text{Quotient: }784 \text{Reminder: }0$$

Factor

$$2^{4}\times 7^{2}$$