Solve 501div28

$$501 \div 28$$

Evaluate

$$\frac{501}{28}\approx 17.892857143$$

Steps For Long Division Method

Use the 1^{st} digit 5 from dividend 501

$$\begin{array}{l}\phantom{28)}\phantom{1}\\28\overline{)501}\\\end{array}$$

Since 5 is less than 28, use the next digit 0 from dividend 501 and add 0 to the quotient

$$\begin{array}{l}\phantom{28)}0\phantom{2}\\28\overline{)501}\\\end{array}$$

Use the 2^{nd} digit 0 from dividend 501

$$\begin{array}{l}\phantom{28)}0\phantom{3}\\28\overline{)501}\\\end{array}$$

Find closest multiple of 28 to 50. We see that 1 \times 28 = 28 is the nearest. Now subtract 28 from 50 to get reminder 22. Add 1 to quotient.

$$\begin{array}{l}\phantom{28)}01\phantom{4}\\28\overline{)501}\\\phantom{28)}\underline{\phantom{}28\phantom{9}}\\\phantom{28)}22\\\end{array}$$

Use the 3^{rd} digit 1 from dividend 501

$$\begin{array}{l}\phantom{28)}01\phantom{5}\\28\overline{)501}\\\phantom{28)}\underline{\phantom{}28\phantom{9}}\\\phantom{28)}221\\\end{array}$$

Find closest multiple of 28 to 221. We see that 7 \times 28 = 196 is the nearest. Now subtract 196 from 221 to get reminder 25. Add 7 to quotient.

$$\begin{array}{l}\phantom{28)}017\phantom{6}\\28\overline{)501}\\\phantom{28)}\underline{\phantom{}28\phantom{9}}\\\phantom{28)}221\\\phantom{28)}\underline{\phantom{}196\phantom{}}\\\phantom{28)9}25\\\end{array}$$

Since 25 is less than 28, stop the division. The reminder is 25. The topmost line 017 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 17.

$$\text{Quotient: }17 \text{Reminder: }25$$

Factor

$$\frac{3 \cdot 167}{2 ^ {2} \cdot 7} = 17\frac{25}{28} = 17.892857142857142$$