Solve 470:28

$$470 : 28$$

Evaluate

$$\frac{235}{14}\approx 16.785714286$$

Steps For Long Division Method

Use the 1^{st} digit 4 from dividend 470

$$\begin{array}{l}\phantom{28)}\phantom{1}\\28\overline{)470}\\\end{array}$$

Since 4 is less than 28, use the next digit 7 from dividend 470 and add 0 to the quotient

$$\begin{array}{l}\phantom{28)}0\phantom{2}\\28\overline{)470}\\\end{array}$$

Use the 2^{nd} digit 7 from dividend 470

$$\begin{array}{l}\phantom{28)}0\phantom{3}\\28\overline{)470}\\\end{array}$$

Find closest multiple of 28 to 47. We see that 1 \times 28 = 28 is the nearest. Now subtract 28 from 47 to get reminder 19. Add 1 to quotient.

$$\begin{array}{l}\phantom{28)}01\phantom{4}\\28\overline{)470}\\\phantom{28)}\underline{\phantom{}28\phantom{9}}\\\phantom{28)}19\\\end{array}$$

Use the 3^{rd} digit 0 from dividend 470

$$\begin{array}{l}\phantom{28)}01\phantom{5}\\28\overline{)470}\\\phantom{28)}\underline{\phantom{}28\phantom{9}}\\\phantom{28)}190\\\end{array}$$

Find closest multiple of 28 to 190. We see that 6 \times 28 = 168 is the nearest. Now subtract 168 from 190 to get reminder 22. Add 6 to quotient.

$$\begin{array}{l}\phantom{28)}016\phantom{6}\\28\overline{)470}\\\phantom{28)}\underline{\phantom{}28\phantom{9}}\\\phantom{28)}190\\\phantom{28)}\underline{\phantom{}168\phantom{}}\\\phantom{28)9}22\\\end{array}$$

Since 22 is less than 28, stop the division. The reminder is 22. The topmost line 016 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 16.

$$\text{Quotient: }16 \text{Reminder: }22$$

Factor

$$\frac{5 \cdot 47}{2 \cdot 7} = 16\frac{11}{14} = 16.785714285714285$$