Solve 414/54

$$\frac{ 414 }{ 54 }$$

Evaluate

$$\frac{23}{3}\approx 7.666666667$$

Steps For Long Division Method

Use the 1^{st} digit 4 from dividend 414

$$\begin{array}{l}\phantom{54)}\phantom{1}\\54\overline{)414}\\\end{array}$$

Since 4 is less than 54, use the next digit 1 from dividend 414 and add 0 to the quotient

$$\begin{array}{l}\phantom{54)}0\phantom{2}\\54\overline{)414}\\\end{array}$$

Use the 2^{nd} digit 1 from dividend 414

$$\begin{array}{l}\phantom{54)}0\phantom{3}\\54\overline{)414}\\\end{array}$$

Since 41 is less than 54, use the next digit 4 from dividend 414 and add 0 to the quotient

$$\begin{array}{l}\phantom{54)}00\phantom{4}\\54\overline{)414}\\\end{array}$$

Use the 3^{rd} digit 4 from dividend 414

$$\begin{array}{l}\phantom{54)}00\phantom{5}\\54\overline{)414}\\\end{array}$$

Find closest multiple of 54 to 414. We see that 7 \times 54 = 378 is the nearest. Now subtract 378 from 414 to get reminder 36. Add 7 to quotient.

$$\begin{array}{l}\phantom{54)}007\phantom{6}\\54\overline{)414}\\\phantom{54)}\underline{\phantom{}378\phantom{}}\\\phantom{54)9}36\\\end{array}$$

Since 36 is less than 54, stop the division. The reminder is 36. The topmost line 007 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 7.

$$\text{Quotient: }7 \text{Reminder: }36$$

Factor

$$\frac{23}{3} = 7\frac{2}{3} = 7.666666666666667$$