Solve 493div72

$$493 \div 72$$

Evaluate

$$\frac{493}{72}\approx 6.847222222$$

Steps For Long Division Method

Use the 1^{st} digit 4 from dividend 493

$$\begin{array}{l}\phantom{72)}\phantom{1}\\72\overline{)493}\\\end{array}$$

Since 4 is less than 72, use the next digit 9 from dividend 493 and add 0 to the quotient

$$\begin{array}{l}\phantom{72)}0\phantom{2}\\72\overline{)493}\\\end{array}$$

Use the 2^{nd} digit 9 from dividend 493

$$\begin{array}{l}\phantom{72)}0\phantom{3}\\72\overline{)493}\\\end{array}$$

Since 49 is less than 72, use the next digit 3 from dividend 493 and add 0 to the quotient

$$\begin{array}{l}\phantom{72)}00\phantom{4}\\72\overline{)493}\\\end{array}$$

Use the 3^{rd} digit 3 from dividend 493

$$\begin{array}{l}\phantom{72)}00\phantom{5}\\72\overline{)493}\\\end{array}$$

Find closest multiple of 72 to 493. We see that 6 \times 72 = 432 is the nearest. Now subtract 432 from 493 to get reminder 61. Add 6 to quotient.

$$\begin{array}{l}\phantom{72)}006\phantom{6}\\72\overline{)493}\\\phantom{72)}\underline{\phantom{}432\phantom{}}\\\phantom{72)9}61\\\end{array}$$

Since 61 is less than 72, stop the division. The reminder is 61. The topmost line 006 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 6.

$$\text{Quotient: }6 \text{Reminder: }61$$

Factor

$$\frac{17 \cdot 29}{2 ^ {3} \cdot 3 ^ {2}} = 6\frac{61}{72} = 6.847222222222222$$