Solve 415div54

$$415 \div 54$$

Evaluate

$$\frac{415}{54}\approx 7.685185185$$

Steps For Long Division Method

Use the 1^{st} digit 4 from dividend 415

$$\begin{array}{l}\phantom{54)}\phantom{1}\\54\overline{)415}\\\end{array}$$

Since 4 is less than 54, use the next digit 1 from dividend 415 and add 0 to the quotient

$$\begin{array}{l}\phantom{54)}0\phantom{2}\\54\overline{)415}\\\end{array}$$

Use the 2^{nd} digit 1 from dividend 415

$$\begin{array}{l}\phantom{54)}0\phantom{3}\\54\overline{)415}\\\end{array}$$

Since 41 is less than 54, use the next digit 5 from dividend 415 and add 0 to the quotient

$$\begin{array}{l}\phantom{54)}00\phantom{4}\\54\overline{)415}\\\end{array}$$

Use the 3^{rd} digit 5 from dividend 415

$$\begin{array}{l}\phantom{54)}00\phantom{5}\\54\overline{)415}\\\end{array}$$

Find closest multiple of 54 to 415. We see that 7 \times 54 = 378 is the nearest. Now subtract 378 from 415 to get reminder 37. Add 7 to quotient.

$$\begin{array}{l}\phantom{54)}007\phantom{6}\\54\overline{)415}\\\phantom{54)}\underline{\phantom{}378\phantom{}}\\\phantom{54)9}37\\\end{array}$$

Since 37 is less than 54, stop the division. The reminder is 37. The topmost line 007 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 7.

$$\text{Quotient: }7 \text{Reminder: }37$$

Factor

$$\frac{5 \cdot 83}{2 \cdot 3 ^ {3}} = 7\frac{37}{54} = 7.685185185185185$$