Solve 430:72=

$$430 : 72 =$$

Evaluate

$$\frac{215}{36}\approx 5.972222222$$

Steps For Long Division Method

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

$$\begin{array}{l}\phantom{72)}\phantom{1}\\72\overline{)430}\\\end{array}$$

Since 4 is less than 72, use the next digit 3 from dividend 430 and add 0 to the quotient

$$\begin{array}{l}\phantom{72)}0\phantom{2}\\72\overline{)430}\\\end{array}$$

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

$$\begin{array}{l}\phantom{72)}0\phantom{3}\\72\overline{)430}\\\end{array}$$

Since 43 is less than 72, use the next digit 0 from dividend 430 and add 0 to the quotient

$$\begin{array}{l}\phantom{72)}00\phantom{4}\\72\overline{)430}\\\end{array}$$

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

$$\begin{array}{l}\phantom{72)}00\phantom{5}\\72\overline{)430}\\\end{array}$$

Find closest multiple of 72 to 430. We see that 5 \times 72 = 360 is the nearest. Now subtract 360 from 430 to get reminder 70. Add 5 to quotient.

$$\begin{array}{l}\phantom{72)}005\phantom{6}\\72\overline{)430}\\\phantom{72)}\underline{\phantom{}360\phantom{}}\\\phantom{72)9}70\\\end{array}$$

Since 70 is less than 72, stop the division. The reminder is 70. The topmost line 005 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 5.

$$\text{Quotient: }5 \text{Reminder: }70$$

Factor

$$\frac{5 \cdot 43}{2 ^ {2} \cdot 3 ^ {2}} = 5\frac{35}{36} = 5.972222222222222$$