Solve 430div15

$$430 \div 15$$

Evaluate

$$\frac{86}{3}\approx 28.666666667$$

Steps For Long Division Method

Use the 1^{st} digit 4 from dividend 430

$$\begin{array}{l}\phantom{15)}\phantom{1}\\15\overline{)430}\\\end{array}$$

Since 4 is less than 15, use the next digit 3 from dividend 430 and add 0 to the quotient

$$\begin{array}{l}\phantom{15)}0\phantom{2}\\15\overline{)430}\\\end{array}$$

Use the 2^{nd} digit 3 from dividend 430

$$\begin{array}{l}\phantom{15)}0\phantom{3}\\15\overline{)430}\\\end{array}$$

Find closest multiple of 15 to 43. We see that 2 \times 15 = 30 is the nearest. Now subtract 30 from 43 to get reminder 13. Add 2 to quotient.

$$\begin{array}{l}\phantom{15)}02\phantom{4}\\15\overline{)430}\\\phantom{15)}\underline{\phantom{}30\phantom{9}}\\\phantom{15)}13\\\end{array}$$

Use the 3^{rd} digit 0 from dividend 430

$$\begin{array}{l}\phantom{15)}02\phantom{5}\\15\overline{)430}\\\phantom{15)}\underline{\phantom{}30\phantom{9}}\\\phantom{15)}130\\\end{array}$$

Find closest multiple of 15 to 130. We see that 8 \times 15 = 120 is the nearest. Now subtract 120 from 130 to get reminder 10. Add 8 to quotient.

$$\begin{array}{l}\phantom{15)}028\phantom{6}\\15\overline{)430}\\\phantom{15)}\underline{\phantom{}30\phantom{9}}\\\phantom{15)}130\\\phantom{15)}\underline{\phantom{}120\phantom{}}\\\phantom{15)9}10\\\end{array}$$

Since 10 is less than 15, stop the division. The reminder is 10. The topmost line 028 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 28.

$$\text{Quotient: }28 \text{Reminder: }10$$

Factor

$$\frac{2 \cdot 43}{3} = 28\frac{2}{3} = 28.666666666666668$$