Solve 65123div32

$$65123 \div 32$$

Evaluate

$$\frac{65123}{32}=2035.09375$$

Steps For Long Division Method

Use the 1^{st} digit 6 from dividend 65123

$$\begin{array}{l}\phantom{32)}\phantom{1}\\32\overline{)65123}\\\end{array}$$

Since 6 is less than 32, use the next digit 5 from dividend 65123 and add 0 to the quotient

$$\begin{array}{l}\phantom{32)}0\phantom{2}\\32\overline{)65123}\\\end{array}$$

Use the 2^{nd} digit 5 from dividend 65123

$$\begin{array}{l}\phantom{32)}0\phantom{3}\\32\overline{)65123}\\\end{array}$$

Find closest multiple of 32 to 65. We see that 2 \times 32 = 64 is the nearest. Now subtract 64 from 65 to get reminder 1. Add 2 to quotient.

$$\begin{array}{l}\phantom{32)}02\phantom{4}\\32\overline{)65123}\\\phantom{32)}\underline{\phantom{}64\phantom{999}}\\\phantom{32)9}1\\\end{array}$$

Use the 3^{rd} digit 1 from dividend 65123

$$\begin{array}{l}\phantom{32)}02\phantom{5}\\32\overline{)65123}\\\phantom{32)}\underline{\phantom{}64\phantom{999}}\\\phantom{32)9}11\\\end{array}$$

Since 11 is less than 32, use the next digit 2 from dividend 65123 and add 0 to the quotient

$$\begin{array}{l}\phantom{32)}020\phantom{6}\\32\overline{)65123}\\\phantom{32)}\underline{\phantom{}64\phantom{999}}\\\phantom{32)9}11\\\end{array}$$

Use the 4^{th} digit 2 from dividend 65123

$$\begin{array}{l}\phantom{32)}020\phantom{7}\\32\overline{)65123}\\\phantom{32)}\underline{\phantom{}64\phantom{999}}\\\phantom{32)9}112\\\end{array}$$

Find closest multiple of 32 to 112. We see that 3 \times 32 = 96 is the nearest. Now subtract 96 from 112 to get reminder 16. Add 3 to quotient.

$$\begin{array}{l}\phantom{32)}0203\phantom{8}\\32\overline{)65123}\\\phantom{32)}\underline{\phantom{}64\phantom{999}}\\\phantom{32)9}112\\\phantom{32)}\underline{\phantom{99}96\phantom{9}}\\\phantom{32)99}16\\\end{array}$$

Use the 5^{th} digit 3 from dividend 65123

$$\begin{array}{l}\phantom{32)}0203\phantom{9}\\32\overline{)65123}\\\phantom{32)}\underline{\phantom{}64\phantom{999}}\\\phantom{32)9}112\\\phantom{32)}\underline{\phantom{99}96\phantom{9}}\\\phantom{32)99}163\\\end{array}$$

Find closest multiple of 32 to 163. We see that 5 \times 32 = 160 is the nearest. Now subtract 160 from 163 to get reminder 3. Add 5 to quotient.

$$\begin{array}{l}\phantom{32)}02035\phantom{10}\\32\overline{)65123}\\\phantom{32)}\underline{\phantom{}64\phantom{999}}\\\phantom{32)9}112\\\phantom{32)}\underline{\phantom{99}96\phantom{9}}\\\phantom{32)99}163\\\phantom{32)}\underline{\phantom{99}160\phantom{}}\\\phantom{32)9999}3\\\end{array}$$

Since 3 is less than 32, stop the division. The reminder is 3. The topmost line 02035 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 2035.

$$\text{Quotient: }2035 \text{Reminder: }3$$

Factor

$$\frac{65123}{2 ^ {5}} = 2035\frac{3}{32} = 2035.09375$$