Solve 2378/54

$$\frac{ 2378 }{ 54 }$$

Evaluate

$$\frac{1189}{27}\approx 44.037037037$$

Steps For Long Division Method

Use the 1^{st} digit 2 from dividend 2378

$$\begin{array}{l}\phantom{54)}\phantom{1}\\54\overline{)2378}\\\end{array}$$

Since 2 is less than 54, use the next digit 3 from dividend 2378 and add 0 to the quotient

$$\begin{array}{l}\phantom{54)}0\phantom{2}\\54\overline{)2378}\\\end{array}$$

Use the 2^{nd} digit 3 from dividend 2378

$$\begin{array}{l}\phantom{54)}0\phantom{3}\\54\overline{)2378}\\\end{array}$$

Since 23 is less than 54, use the next digit 7 from dividend 2378 and add 0 to the quotient

$$\begin{array}{l}\phantom{54)}00\phantom{4}\\54\overline{)2378}\\\end{array}$$

Use the 3^{rd} digit 7 from dividend 2378

$$\begin{array}{l}\phantom{54)}00\phantom{5}\\54\overline{)2378}\\\end{array}$$

Find closest multiple of 54 to 237. We see that 4 \times 54 = 216 is the nearest. Now subtract 216 from 237 to get reminder 21. Add 4 to quotient.

$$\begin{array}{l}\phantom{54)}004\phantom{6}\\54\overline{)2378}\\\phantom{54)}\underline{\phantom{}216\phantom{9}}\\\phantom{54)9}21\\\end{array}$$

Use the 4^{th} digit 8 from dividend 2378

$$\begin{array}{l}\phantom{54)}004\phantom{7}\\54\overline{)2378}\\\phantom{54)}\underline{\phantom{}216\phantom{9}}\\\phantom{54)9}218\\\end{array}$$

Find closest multiple of 54 to 218. We see that 4 \times 54 = 216 is the nearest. Now subtract 216 from 218 to get reminder 2. Add 4 to quotient.

$$\begin{array}{l}\phantom{54)}0044\phantom{8}\\54\overline{)2378}\\\phantom{54)}\underline{\phantom{}216\phantom{9}}\\\phantom{54)9}218\\\phantom{54)}\underline{\phantom{9}216\phantom{}}\\\phantom{54)999}2\\\end{array}$$

Since 2 is less than 54, stop the division. The reminder is 2. The topmost line 0044 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 44.

$$\text{Quotient: }44 \text{Reminder: }2$$

Factor

$$\frac{29 \cdot 41}{3 ^ {3}} = 44\frac{1}{27} = 44.03703703703704$$