Solve 231665div16

$$231665 \div 16$$

Evaluate

$$\frac{231665}{16}=14479.0625$$

Steps For Long Division Method

Use the 1^{st} digit 2 from dividend 231665

$$\begin{array}{l}\phantom{16)}\phantom{1}\\16\overline{)231665}\\\end{array}$$

Since 2 is less than 16, use the next digit 3 from dividend 231665 and add 0 to the quotient

$$\begin{array}{l}\phantom{16)}0\phantom{2}\\16\overline{)231665}\\\end{array}$$

Use the 2^{nd} digit 3 from dividend 231665

$$\begin{array}{l}\phantom{16)}0\phantom{3}\\16\overline{)231665}\\\end{array}$$

Find closest multiple of 16 to 23. We see that 1 \times 16 = 16 is the nearest. Now subtract 16 from 23 to get reminder 7. Add 1 to quotient.

$$\begin{array}{l}\phantom{16)}01\phantom{4}\\16\overline{)231665}\\\phantom{16)}\underline{\phantom{}16\phantom{9999}}\\\phantom{16)9}7\\\end{array}$$

Use the 3^{rd} digit 1 from dividend 231665

$$\begin{array}{l}\phantom{16)}01\phantom{5}\\16\overline{)231665}\\\phantom{16)}\underline{\phantom{}16\phantom{9999}}\\\phantom{16)9}71\\\end{array}$$

Find closest multiple of 16 to 71. We see that 4 \times 16 = 64 is the nearest. Now subtract 64 from 71 to get reminder 7. Add 4 to quotient.

$$\begin{array}{l}\phantom{16)}014\phantom{6}\\16\overline{)231665}\\\phantom{16)}\underline{\phantom{}16\phantom{9999}}\\\phantom{16)9}71\\\phantom{16)}\underline{\phantom{9}64\phantom{999}}\\\phantom{16)99}7\\\end{array}$$

Use the 4^{th} digit 6 from dividend 231665

$$\begin{array}{l}\phantom{16)}014\phantom{7}\\16\overline{)231665}\\\phantom{16)}\underline{\phantom{}16\phantom{9999}}\\\phantom{16)9}71\\\phantom{16)}\underline{\phantom{9}64\phantom{999}}\\\phantom{16)99}76\\\end{array}$$

Find closest multiple of 16 to 76. We see that 4 \times 16 = 64 is the nearest. Now subtract 64 from 76 to get reminder 12. Add 4 to quotient.

$$\begin{array}{l}\phantom{16)}0144\phantom{8}\\16\overline{)231665}\\\phantom{16)}\underline{\phantom{}16\phantom{9999}}\\\phantom{16)9}71\\\phantom{16)}\underline{\phantom{9}64\phantom{999}}\\\phantom{16)99}76\\\phantom{16)}\underline{\phantom{99}64\phantom{99}}\\\phantom{16)99}12\\\end{array}$$

Use the 5^{th} digit 6 from dividend 231665

$$\begin{array}{l}\phantom{16)}0144\phantom{9}\\16\overline{)231665}\\\phantom{16)}\underline{\phantom{}16\phantom{9999}}\\\phantom{16)9}71\\\phantom{16)}\underline{\phantom{9}64\phantom{999}}\\\phantom{16)99}76\\\phantom{16)}\underline{\phantom{99}64\phantom{99}}\\\phantom{16)99}126\\\end{array}$$

Find closest multiple of 16 to 126. We see that 7 \times 16 = 112 is the nearest. Now subtract 112 from 126 to get reminder 14. Add 7 to quotient.

$$\begin{array}{l}\phantom{16)}01447\phantom{10}\\16\overline{)231665}\\\phantom{16)}\underline{\phantom{}16\phantom{9999}}\\\phantom{16)9}71\\\phantom{16)}\underline{\phantom{9}64\phantom{999}}\\\phantom{16)99}76\\\phantom{16)}\underline{\phantom{99}64\phantom{99}}\\\phantom{16)99}126\\\phantom{16)}\underline{\phantom{99}112\phantom{9}}\\\phantom{16)999}14\\\end{array}$$

Use the 6^{th} digit 5 from dividend 231665

$$\begin{array}{l}\phantom{16)}01447\phantom{11}\\16\overline{)231665}\\\phantom{16)}\underline{\phantom{}16\phantom{9999}}\\\phantom{16)9}71\\\phantom{16)}\underline{\phantom{9}64\phantom{999}}\\\phantom{16)99}76\\\phantom{16)}\underline{\phantom{99}64\phantom{99}}\\\phantom{16)99}126\\\phantom{16)}\underline{\phantom{99}112\phantom{9}}\\\phantom{16)999}145\\\end{array}$$

Find closest multiple of 16 to 145. We see that 9 \times 16 = 144 is the nearest. Now subtract 144 from 145 to get reminder 1. Add 9 to quotient.

$$\begin{array}{l}\phantom{16)}014479\phantom{12}\\16\overline{)231665}\\\phantom{16)}\underline{\phantom{}16\phantom{9999}}\\\phantom{16)9}71\\\phantom{16)}\underline{\phantom{9}64\phantom{999}}\\\phantom{16)99}76\\\phantom{16)}\underline{\phantom{99}64\phantom{99}}\\\phantom{16)99}126\\\phantom{16)}\underline{\phantom{99}112\phantom{9}}\\\phantom{16)999}145\\\phantom{16)}\underline{\phantom{999}144\phantom{}}\\\phantom{16)99999}1\\\end{array}$$

Since 1 is less than 16, stop the division. The reminder is 1. The topmost line 014479 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 14479.

$$\text{Quotient: }14479 \text{Reminder: }1$$

Factor

$$\frac{5 \cdot 7 \cdot 6619}{2 ^ {4}} = 14479\frac{1}{16} = 14479.0625$$