Solve 4900div365

$$4900 \div 365$$

Evaluate

$$\frac{980}{73}\approx 13.424657534$$

Steps For Long Division Method

Use the 1^{st} digit 4 from dividend 4900

$$\begin{array}{l}\phantom{365)}\phantom{1}\\365\overline{)4900}\\\end{array}$$

Since 4 is less than 365, use the next digit 9 from dividend 4900 and add 0 to the quotient

$$\begin{array}{l}\phantom{365)}0\phantom{2}\\365\overline{)4900}\\\end{array}$$

Use the 2^{nd} digit 9 from dividend 4900

$$\begin{array}{l}\phantom{365)}0\phantom{3}\\365\overline{)4900}\\\end{array}$$

Since 49 is less than 365, use the next digit 0 from dividend 4900 and add 0 to the quotient

$$\begin{array}{l}\phantom{365)}00\phantom{4}\\365\overline{)4900}\\\end{array}$$

Use the 3^{rd} digit 0 from dividend 4900

$$\begin{array}{l}\phantom{365)}00\phantom{5}\\365\overline{)4900}\\\end{array}$$

Find closest multiple of 365 to 490. We see that 1 \times 365 = 365 is the nearest. Now subtract 365 from 490 to get reminder 125. Add 1 to quotient.

$$\begin{array}{l}\phantom{365)}001\phantom{6}\\365\overline{)4900}\\\phantom{365)}\underline{\phantom{}365\phantom{9}}\\\phantom{365)}125\\\end{array}$$

Use the 4^{th} digit 0 from dividend 4900

$$\begin{array}{l}\phantom{365)}001\phantom{7}\\365\overline{)4900}\\\phantom{365)}\underline{\phantom{}365\phantom{9}}\\\phantom{365)}1250\\\end{array}$$

Find closest multiple of 365 to 1250. We see that 3 \times 365 = 1095 is the nearest. Now subtract 1095 from 1250 to get reminder 155. Add 3 to quotient.

$$\begin{array}{l}\phantom{365)}0013\phantom{8}\\365\overline{)4900}\\\phantom{365)}\underline{\phantom{}365\phantom{9}}\\\phantom{365)}1250\\\phantom{365)}\underline{\phantom{}1095\phantom{}}\\\phantom{365)9}155\\\end{array}$$

Since 155 is less than 365, stop the division. The reminder is 155. The topmost line 0013 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 13.

$$\text{Quotient: }13 \text{Reminder: }155$$

Factor

$$\frac{2 ^ {2} \cdot 5 \cdot 7 ^ {2}}{73} = 13\frac{31}{73} = 13.424657534246576$$