Solve 21200/365

$$\frac{ 21200 }{ 365 }$$

Evaluate

$$\frac{4240}{73}\approx 58.082191781$$

Steps For Long Division Method

Use the 1^{st} digit 2 from dividend 21200

$$\begin{array}{l}\phantom{365)}\phantom{1}\\365\overline{)21200}\\\end{array}$$

Since 2 is less than 365, use the next digit 1 from dividend 21200 and add 0 to the quotient

$$\begin{array}{l}\phantom{365)}0\phantom{2}\\365\overline{)21200}\\\end{array}$$

Use the 2^{nd} digit 1 from dividend 21200

$$\begin{array}{l}\phantom{365)}0\phantom{3}\\365\overline{)21200}\\\end{array}$$

Since 21 is less than 365, use the next digit 2 from dividend 21200 and add 0 to the quotient

$$\begin{array}{l}\phantom{365)}00\phantom{4}\\365\overline{)21200}\\\end{array}$$

Use the 3^{rd} digit 2 from dividend 21200

$$\begin{array}{l}\phantom{365)}00\phantom{5}\\365\overline{)21200}\\\end{array}$$

Since 212 is less than 365, use the next digit 0 from dividend 21200 and add 0 to the quotient

$$\begin{array}{l}\phantom{365)}000\phantom{6}\\365\overline{)21200}\\\end{array}$$

Use the 4^{th} digit 0 from dividend 21200

$$\begin{array}{l}\phantom{365)}000\phantom{7}\\365\overline{)21200}\\\end{array}$$

Find closest multiple of 365 to 2120. We see that 5 \times 365 = 1825 is the nearest. Now subtract 1825 from 2120 to get reminder 295. Add 5 to quotient.

$$\begin{array}{l}\phantom{365)}0005\phantom{8}\\365\overline{)21200}\\\phantom{365)}\underline{\phantom{}1825\phantom{9}}\\\phantom{365)9}295\\\end{array}$$

Use the 5^{th} digit 0 from dividend 21200

$$\begin{array}{l}\phantom{365)}0005\phantom{9}\\365\overline{)21200}\\\phantom{365)}\underline{\phantom{}1825\phantom{9}}\\\phantom{365)9}2950\\\end{array}$$

Find closest multiple of 365 to 2950. We see that 8 \times 365 = 2920 is the nearest. Now subtract 2920 from 2950 to get reminder 30. Add 8 to quotient.

$$\begin{array}{l}\phantom{365)}00058\phantom{10}\\365\overline{)21200}\\\phantom{365)}\underline{\phantom{}1825\phantom{9}}\\\phantom{365)9}2950\\\phantom{365)}\underline{\phantom{9}2920\phantom{}}\\\phantom{365)999}30\\\end{array}$$

Since 30 is less than 365, stop the division. The reminder is 30. The topmost line 00058 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 58.

$$\text{Quotient: }58 \text{Reminder: }30$$

Factor

$$\frac{2 ^ {4} \cdot 5 \cdot 53}{73} = 58\frac{6}{73} = 58.082191780821915$$