Solve 2325div166

$$2325 \div 166$$

Evaluate

$$\frac{2325}{166}\approx 14.006024096$$

Steps For Long Division Method

Use the 1^{st} digit 2 from dividend 2325

$$\begin{array}{l}\phantom{166)}\phantom{1}\\166\overline{)2325}\\\end{array}$$

Since 2 is less than 166, use the next digit 3 from dividend 2325 and add 0 to the quotient

$$\begin{array}{l}\phantom{166)}0\phantom{2}\\166\overline{)2325}\\\end{array}$$

Use the 2^{nd} digit 3 from dividend 2325

$$\begin{array}{l}\phantom{166)}0\phantom{3}\\166\overline{)2325}\\\end{array}$$

Since 23 is less than 166, use the next digit 2 from dividend 2325 and add 0 to the quotient

$$\begin{array}{l}\phantom{166)}00\phantom{4}\\166\overline{)2325}\\\end{array}$$

Use the 3^{rd} digit 2 from dividend 2325

$$\begin{array}{l}\phantom{166)}00\phantom{5}\\166\overline{)2325}\\\end{array}$$

Find closest multiple of 166 to 232. We see that 1 \times 166 = 166 is the nearest. Now subtract 166 from 232 to get reminder 66. Add 1 to quotient.

$$\begin{array}{l}\phantom{166)}001\phantom{6}\\166\overline{)2325}\\\phantom{166)}\underline{\phantom{}166\phantom{9}}\\\phantom{166)9}66\\\end{array}$$

Use the 4^{th} digit 5 from dividend 2325

$$\begin{array}{l}\phantom{166)}001\phantom{7}\\166\overline{)2325}\\\phantom{166)}\underline{\phantom{}166\phantom{9}}\\\phantom{166)9}665\\\end{array}$$

Find closest multiple of 166 to 665. We see that 4 \times 166 = 664 is the nearest. Now subtract 664 from 665 to get reminder 1. Add 4 to quotient.

$$\begin{array}{l}\phantom{166)}0014\phantom{8}\\166\overline{)2325}\\\phantom{166)}\underline{\phantom{}166\phantom{9}}\\\phantom{166)9}665\\\phantom{166)}\underline{\phantom{9}664\phantom{}}\\\phantom{166)999}1\\\end{array}$$

Since 1 is less than 166, stop the division. The reminder is 1. The topmost line 0014 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 14.

$$\text{Quotient: }14 \text{Reminder: }1$$

Factor

$$\frac{3 \cdot 5 ^ {2} \cdot 31}{2 \cdot 83} = 14\frac{1}{166} = 14.006024096385541$$