Solve 12100div184

$$12100 \div 184$$

Evaluate

$$\frac{3025}{46}\approx 65.760869565$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 12100

$$\begin{array}{l}\phantom{184)}\phantom{1}\\184\overline{)12100}\\\end{array}$$

Since 1 is less than 184, use the next digit 2 from dividend 12100 and add 0 to the quotient

$$\begin{array}{l}\phantom{184)}0\phantom{2}\\184\overline{)12100}\\\end{array}$$

Use the 2^{nd} digit 2 from dividend 12100

$$\begin{array}{l}\phantom{184)}0\phantom{3}\\184\overline{)12100}\\\end{array}$$

Since 12 is less than 184, use the next digit 1 from dividend 12100 and add 0 to the quotient

$$\begin{array}{l}\phantom{184)}00\phantom{4}\\184\overline{)12100}\\\end{array}$$

Use the 3^{rd} digit 1 from dividend 12100

$$\begin{array}{l}\phantom{184)}00\phantom{5}\\184\overline{)12100}\\\end{array}$$

Since 121 is less than 184, use the next digit 0 from dividend 12100 and add 0 to the quotient

$$\begin{array}{l}\phantom{184)}000\phantom{6}\\184\overline{)12100}\\\end{array}$$

Use the 4^{th} digit 0 from dividend 12100

$$\begin{array}{l}\phantom{184)}000\phantom{7}\\184\overline{)12100}\\\end{array}$$

Find closest multiple of 184 to 1210. We see that 6 \times 184 = 1104 is the nearest. Now subtract 1104 from 1210 to get reminder 106. Add 6 to quotient.

$$\begin{array}{l}\phantom{184)}0006\phantom{8}\\184\overline{)12100}\\\phantom{184)}\underline{\phantom{}1104\phantom{9}}\\\phantom{184)9}106\\\end{array}$$

Use the 5^{th} digit 0 from dividend 12100

$$\begin{array}{l}\phantom{184)}0006\phantom{9}\\184\overline{)12100}\\\phantom{184)}\underline{\phantom{}1104\phantom{9}}\\\phantom{184)9}1060\\\end{array}$$

Find closest multiple of 184 to 1060. We see that 5 \times 184 = 920 is the nearest. Now subtract 920 from 1060 to get reminder 140. Add 5 to quotient.

$$\begin{array}{l}\phantom{184)}00065\phantom{10}\\184\overline{)12100}\\\phantom{184)}\underline{\phantom{}1104\phantom{9}}\\\phantom{184)9}1060\\\phantom{184)}\underline{\phantom{99}920\phantom{}}\\\phantom{184)99}140\\\end{array}$$

Since 140 is less than 184, stop the division. The reminder is 140. The topmost line 00065 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 65.

$$\text{Quotient: }65 \text{Reminder: }140$$

Factor

$$\frac{5 ^ {2} \cdot 11 ^ {2}}{2 \cdot 23} = 65\frac{35}{46} = 65.76086956521739$$