Solve 4900/729

$$\frac { 4900 } { 729 }$$

Evaluate

$$\frac{4900}{729}\approx 6.721536351$$

Steps For Long Division Method

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

$$\begin{array}{l}\phantom{729)}\phantom{1}\\729\overline{)4900}\\\end{array}$$

Since 4 is less than 729, use the next digit 9 from dividend 4900 and add 0 to the quotient

$$\begin{array}{l}\phantom{729)}0\phantom{2}\\729\overline{)4900}\\\end{array}$$

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

$$\begin{array}{l}\phantom{729)}0\phantom{3}\\729\overline{)4900}\\\end{array}$$

Since 49 is less than 729, use the next digit 0 from dividend 4900 and add 0 to the quotient

$$\begin{array}{l}\phantom{729)}00\phantom{4}\\729\overline{)4900}\\\end{array}$$

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

$$\begin{array}{l}\phantom{729)}00\phantom{5}\\729\overline{)4900}\\\end{array}$$

Since 490 is less than 729, use the next digit 0 from dividend 4900 and add 0 to the quotient

$$\begin{array}{l}\phantom{729)}000\phantom{6}\\729\overline{)4900}\\\end{array}$$

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

$$\begin{array}{l}\phantom{729)}000\phantom{7}\\729\overline{)4900}\\\end{array}$$

Find closest multiple of 729 to 4900. We see that 6 \times 729 = 4374 is the nearest. Now subtract 4374 from 4900 to get reminder 526. Add 6 to quotient.

$$\begin{array}{l}\phantom{729)}0006\phantom{8}\\729\overline{)4900}\\\phantom{729)}\underline{\phantom{}4374\phantom{}}\\\phantom{729)9}526\\\end{array}$$

Since 526 is less than 729, stop the division. The reminder is 526. The topmost line 0006 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 6.

$$\text{Quotient: }6 \text{Reminder: }526$$

Factor

$$\frac{2 ^ {2} \cdot 5 ^ {2} \cdot 7 ^ {2}}{3 ^ {6}} = 6\frac{526}{729} = 6.721536351165981$$