Solve 2378/53

$$\frac{ 2378 }{ 53 }$$

Evaluate

$$\frac{2378}{53}\approx 44.867924528$$

Steps For Long Division Method

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

$$\begin{array}{l}\phantom{53)}\phantom{1}\\53\overline{)2378}\\\end{array}$$

Since 2 is less than 53, use the next digit 3 from dividend 2378 and add 0 to the quotient

$$\begin{array}{l}\phantom{53)}0\phantom{2}\\53\overline{)2378}\\\end{array}$$

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

$$\begin{array}{l}\phantom{53)}0\phantom{3}\\53\overline{)2378}\\\end{array}$$

Since 23 is less than 53, use the next digit 7 from dividend 2378 and add 0 to the quotient

$$\begin{array}{l}\phantom{53)}00\phantom{4}\\53\overline{)2378}\\\end{array}$$

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

$$\begin{array}{l}\phantom{53)}00\phantom{5}\\53\overline{)2378}\\\end{array}$$

Find closest multiple of 53 to 237. We see that 4 \times 53 = 212 is the nearest. Now subtract 212 from 237 to get reminder 25. Add 4 to quotient.

$$\begin{array}{l}\phantom{53)}004\phantom{6}\\53\overline{)2378}\\\phantom{53)}\underline{\phantom{}212\phantom{9}}\\\phantom{53)9}25\\\end{array}$$

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

$$\begin{array}{l}\phantom{53)}004\phantom{7}\\53\overline{)2378}\\\phantom{53)}\underline{\phantom{}212\phantom{9}}\\\phantom{53)9}258\\\end{array}$$

Find closest multiple of 53 to 258. We see that 4 \times 53 = 212 is the nearest. Now subtract 212 from 258 to get reminder 46. Add 4 to quotient.

$$\begin{array}{l}\phantom{53)}0044\phantom{8}\\53\overline{)2378}\\\phantom{53)}\underline{\phantom{}212\phantom{9}}\\\phantom{53)9}258\\\phantom{53)}\underline{\phantom{9}212\phantom{}}\\\phantom{53)99}46\\\end{array}$$

Since 46 is less than 53, stop the division. The reminder is 46. The topmost line 0044 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 44.

$$\text{Quotient: }44 \text{Reminder: }46$$

Factor

$$\frac{2 \cdot 29 \cdot 41}{53} = 44\frac{46}{53} = 44.867924528301884$$