Solve 782:32

$$782 : 32$$

Evaluate

$$\frac{391}{16}=24.4375$$

Steps For Long Division Method

Use the 1^{st} digit 7 from dividend 782

$$\begin{array}{l}\phantom{32)}\phantom{1}\\32\overline{)782}\\\end{array}$$

Since 7 is less than 32, use the next digit 8 from dividend 782 and add 0 to the quotient

$$\begin{array}{l}\phantom{32)}0\phantom{2}\\32\overline{)782}\\\end{array}$$

Use the 2^{nd} digit 8 from dividend 782

$$\begin{array}{l}\phantom{32)}0\phantom{3}\\32\overline{)782}\\\end{array}$$

Find closest multiple of 32 to 78. We see that 2 \times 32 = 64 is the nearest. Now subtract 64 from 78 to get reminder 14. Add 2 to quotient.

$$\begin{array}{l}\phantom{32)}02\phantom{4}\\32\overline{)782}\\\phantom{32)}\underline{\phantom{}64\phantom{9}}\\\phantom{32)}14\\\end{array}$$

Use the 3^{rd} digit 2 from dividend 782

$$\begin{array}{l}\phantom{32)}02\phantom{5}\\32\overline{)782}\\\phantom{32)}\underline{\phantom{}64\phantom{9}}\\\phantom{32)}142\\\end{array}$$

Find closest multiple of 32 to 142. We see that 4 \times 32 = 128 is the nearest. Now subtract 128 from 142 to get reminder 14. Add 4 to quotient.

$$\begin{array}{l}\phantom{32)}024\phantom{6}\\32\overline{)782}\\\phantom{32)}\underline{\phantom{}64\phantom{9}}\\\phantom{32)}142\\\phantom{32)}\underline{\phantom{}128\phantom{}}\\\phantom{32)9}14\\\end{array}$$

Since 14 is less than 32, stop the division. The reminder is 14. The topmost line 024 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 24.

$$\text{Quotient: }24 \text{Reminder: }14$$

Factor

$$\frac{17 \cdot 23}{2 ^ {4}} = 24\frac{7}{16} = 24.4375$$