Solve 50167/20

$$\frac { 50167 } { 20 }$$

Evaluate

$$\frac{50167}{20}=2508.35$$

Steps For Long Division Method

Use the 1^{st} digit 5 from dividend 50167

$$\begin{array}{l}\phantom{20)}\phantom{1}\\20\overline{)50167}\\\end{array}$$

Since 5 is less than 20, use the next digit 0 from dividend 50167 and add 0 to the quotient

$$\begin{array}{l}\phantom{20)}0\phantom{2}\\20\overline{)50167}\\\end{array}$$

Use the 2^{nd} digit 0 from dividend 50167

$$\begin{array}{l}\phantom{20)}0\phantom{3}\\20\overline{)50167}\\\end{array}$$

Find closest multiple of 20 to 50. We see that 2 \times 20 = 40 is the nearest. Now subtract 40 from 50 to get reminder 10. Add 2 to quotient.

$$\begin{array}{l}\phantom{20)}02\phantom{4}\\20\overline{)50167}\\\phantom{20)}\underline{\phantom{}40\phantom{999}}\\\phantom{20)}10\\\end{array}$$

Use the 3^{rd} digit 1 from dividend 50167

$$\begin{array}{l}\phantom{20)}02\phantom{5}\\20\overline{)50167}\\\phantom{20)}\underline{\phantom{}40\phantom{999}}\\\phantom{20)}101\\\end{array}$$

Find closest multiple of 20 to 101. We see that 5 \times 20 = 100 is the nearest. Now subtract 100 from 101 to get reminder 1. Add 5 to quotient.

$$\begin{array}{l}\phantom{20)}025\phantom{6}\\20\overline{)50167}\\\phantom{20)}\underline{\phantom{}40\phantom{999}}\\\phantom{20)}101\\\phantom{20)}\underline{\phantom{}100\phantom{99}}\\\phantom{20)99}1\\\end{array}$$

Use the 4^{th} digit 6 from dividend 50167

$$\begin{array}{l}\phantom{20)}025\phantom{7}\\20\overline{)50167}\\\phantom{20)}\underline{\phantom{}40\phantom{999}}\\\phantom{20)}101\\\phantom{20)}\underline{\phantom{}100\phantom{99}}\\\phantom{20)99}16\\\end{array}$$

Since 16 is less than 20, use the next digit 7 from dividend 50167 and add 0 to the quotient

$$\begin{array}{l}\phantom{20)}0250\phantom{8}\\20\overline{)50167}\\\phantom{20)}\underline{\phantom{}40\phantom{999}}\\\phantom{20)}101\\\phantom{20)}\underline{\phantom{}100\phantom{99}}\\\phantom{20)99}16\\\end{array}$$

Use the 5^{th} digit 7 from dividend 50167

$$\begin{array}{l}\phantom{20)}0250\phantom{9}\\20\overline{)50167}\\\phantom{20)}\underline{\phantom{}40\phantom{999}}\\\phantom{20)}101\\\phantom{20)}\underline{\phantom{}100\phantom{99}}\\\phantom{20)99}167\\\end{array}$$

Find closest multiple of 20 to 167. We see that 8 \times 20 = 160 is the nearest. Now subtract 160 from 167 to get reminder 7. Add 8 to quotient.

$$\begin{array}{l}\phantom{20)}02508\phantom{10}\\20\overline{)50167}\\\phantom{20)}\underline{\phantom{}40\phantom{999}}\\\phantom{20)}101\\\phantom{20)}\underline{\phantom{}100\phantom{99}}\\\phantom{20)99}167\\\phantom{20)}\underline{\phantom{99}160\phantom{}}\\\phantom{20)9999}7\\\end{array}$$

Since 7 is less than 20, stop the division. The reminder is 7. The topmost line 02508 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 2508.

$$\text{Quotient: }2508 \text{Reminder: }7$$

Factor

$$\frac{13 \cdot 17 \cdot 227}{2 ^ {2} \cdot 5} = 2508\frac{7}{20} = 2508.35$$