Solve 2258/65

$$\frac{ 2258 }{ 65 }$$

Evaluate

$$\frac{2258}{65}\approx 34.738461538$$

Steps For Long Division Method

Use the 1^{st} digit 2 from dividend 2258

$$\begin{array}{l}\phantom{65)}\phantom{1}\\65\overline{)2258}\\\end{array}$$

Since 2 is less than 65, use the next digit 2 from dividend 2258 and add 0 to the quotient

$$\begin{array}{l}\phantom{65)}0\phantom{2}\\65\overline{)2258}\\\end{array}$$

Use the 2^{nd} digit 2 from dividend 2258

$$\begin{array}{l}\phantom{65)}0\phantom{3}\\65\overline{)2258}\\\end{array}$$

Since 22 is less than 65, use the next digit 5 from dividend 2258 and add 0 to the quotient

$$\begin{array}{l}\phantom{65)}00\phantom{4}\\65\overline{)2258}\\\end{array}$$

Use the 3^{rd} digit 5 from dividend 2258

$$\begin{array}{l}\phantom{65)}00\phantom{5}\\65\overline{)2258}\\\end{array}$$

Find closest multiple of 65 to 225. We see that 3 \times 65 = 195 is the nearest. Now subtract 195 from 225 to get reminder 30. Add 3 to quotient.

$$\begin{array}{l}\phantom{65)}003\phantom{6}\\65\overline{)2258}\\\phantom{65)}\underline{\phantom{}195\phantom{9}}\\\phantom{65)9}30\\\end{array}$$

Use the 4^{th} digit 8 from dividend 2258

$$\begin{array}{l}\phantom{65)}003\phantom{7}\\65\overline{)2258}\\\phantom{65)}\underline{\phantom{}195\phantom{9}}\\\phantom{65)9}308\\\end{array}$$

Find closest multiple of 65 to 308. We see that 4 \times 65 = 260 is the nearest. Now subtract 260 from 308 to get reminder 48. Add 4 to quotient.

$$\begin{array}{l}\phantom{65)}0034\phantom{8}\\65\overline{)2258}\\\phantom{65)}\underline{\phantom{}195\phantom{9}}\\\phantom{65)9}308\\\phantom{65)}\underline{\phantom{9}260\phantom{}}\\\phantom{65)99}48\\\end{array}$$

Since 48 is less than 65, stop the division. The reminder is 48. The topmost line 0034 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 34.

$$\text{Quotient: }34 \text{Reminder: }48$$

Factor

$$\frac{2 \cdot 1129}{5 \cdot 13} = 34\frac{48}{65} = 34.738461538461536$$