Solve 421div72=

$$421 \div 72=$$

Evaluate

$$\frac{421}{72}\approx 5.847222222$$

Steps For Long Division Method

Use the 1^{st} digit 4 from dividend 421

$$\begin{array}{l}\phantom{72)}\phantom{1}\\72\overline{)421}\\\end{array}$$

Since 4 is less than 72, use the next digit 2 from dividend 421 and add 0 to the quotient

$$\begin{array}{l}\phantom{72)}0\phantom{2}\\72\overline{)421}\\\end{array}$$

Use the 2^{nd} digit 2 from dividend 421

$$\begin{array}{l}\phantom{72)}0\phantom{3}\\72\overline{)421}\\\end{array}$$

Since 42 is less than 72, use the next digit 1 from dividend 421 and add 0 to the quotient

$$\begin{array}{l}\phantom{72)}00\phantom{4}\\72\overline{)421}\\\end{array}$$

Use the 3^{rd} digit 1 from dividend 421

$$\begin{array}{l}\phantom{72)}00\phantom{5}\\72\overline{)421}\\\end{array}$$

Find closest multiple of 72 to 421. We see that 5 \times 72 = 360 is the nearest. Now subtract 360 from 421 to get reminder 61. Add 5 to quotient.

$$\begin{array}{l}\phantom{72)}005\phantom{6}\\72\overline{)421}\\\phantom{72)}\underline{\phantom{}360\phantom{}}\\\phantom{72)9}61\\\end{array}$$

Since 61 is less than 72, stop the division. The reminder is 61. The topmost line 005 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 5.

$$\text{Quotient: }5 \text{Reminder: }61$$

Factor

$$\frac{421}{2 ^ {3} \cdot 3 ^ {2}} = 5\frac{61}{72} = 5.847222222222222$$