Solve 480div17

$$480 \div 17$$

Evaluate

$$\frac{480}{17}\approx 28.235294118$$

Steps For Long Division Method

Use the 1^{st} digit 4 from dividend 480

$$\begin{array}{l}\phantom{17)}\phantom{1}\\17\overline{)480}\\\end{array}$$

Since 4 is less than 17, use the next digit 8 from dividend 480 and add 0 to the quotient

$$\begin{array}{l}\phantom{17)}0\phantom{2}\\17\overline{)480}\\\end{array}$$

Use the 2^{nd} digit 8 from dividend 480

$$\begin{array}{l}\phantom{17)}0\phantom{3}\\17\overline{)480}\\\end{array}$$

Find closest multiple of 17 to 48. We see that 2 \times 17 = 34 is the nearest. Now subtract 34 from 48 to get reminder 14. Add 2 to quotient.

$$\begin{array}{l}\phantom{17)}02\phantom{4}\\17\overline{)480}\\\phantom{17)}\underline{\phantom{}34\phantom{9}}\\\phantom{17)}14\\\end{array}$$

Use the 3^{rd} digit 0 from dividend 480

$$\begin{array}{l}\phantom{17)}02\phantom{5}\\17\overline{)480}\\\phantom{17)}\underline{\phantom{}34\phantom{9}}\\\phantom{17)}140\\\end{array}$$

Find closest multiple of 17 to 140. We see that 8 \times 17 = 136 is the nearest. Now subtract 136 from 140 to get reminder 4. Add 8 to quotient.

$$\begin{array}{l}\phantom{17)}028\phantom{6}\\17\overline{)480}\\\phantom{17)}\underline{\phantom{}34\phantom{9}}\\\phantom{17)}140\\\phantom{17)}\underline{\phantom{}136\phantom{}}\\\phantom{17)99}4\\\end{array}$$

Since 4 is less than 17, stop the division. The reminder is 4. The topmost line 028 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 28.

$$\text{Quotient: }28 \text{Reminder: }4$$

Factor

$$\frac{2 ^ {5} \cdot 3 \cdot 5}{17} = 28\frac{4}{17} = 28.235294117647058$$