Solve 1105/48

$$\frac{ 1105 }{ 48 }$$

Evaluate

$$\frac{1105}{48}\approx 23.020833333$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 1105

$$\begin{array}{l}\phantom{48)}\phantom{1}\\48\overline{)1105}\\\end{array}$$

Since 1 is less than 48, use the next digit 1 from dividend 1105 and add 0 to the quotient

$$\begin{array}{l}\phantom{48)}0\phantom{2}\\48\overline{)1105}\\\end{array}$$

Use the 2^{nd} digit 1 from dividend 1105

$$\begin{array}{l}\phantom{48)}0\phantom{3}\\48\overline{)1105}\\\end{array}$$

Since 11 is less than 48, use the next digit 0 from dividend 1105 and add 0 to the quotient

$$\begin{array}{l}\phantom{48)}00\phantom{4}\\48\overline{)1105}\\\end{array}$$

Use the 3^{rd} digit 0 from dividend 1105

$$\begin{array}{l}\phantom{48)}00\phantom{5}\\48\overline{)1105}\\\end{array}$$

Find closest multiple of 48 to 110. We see that 2 \times 48 = 96 is the nearest. Now subtract 96 from 110 to get reminder 14. Add 2 to quotient.

$$\begin{array}{l}\phantom{48)}002\phantom{6}\\48\overline{)1105}\\\phantom{48)}\underline{\phantom{9}96\phantom{9}}\\\phantom{48)9}14\\\end{array}$$

Use the 4^{th} digit 5 from dividend 1105

$$\begin{array}{l}\phantom{48)}002\phantom{7}\\48\overline{)1105}\\\phantom{48)}\underline{\phantom{9}96\phantom{9}}\\\phantom{48)9}145\\\end{array}$$

Find closest multiple of 48 to 145. We see that 3 \times 48 = 144 is the nearest. Now subtract 144 from 145 to get reminder 1. Add 3 to quotient.

$$\begin{array}{l}\phantom{48)}0023\phantom{8}\\48\overline{)1105}\\\phantom{48)}\underline{\phantom{9}96\phantom{9}}\\\phantom{48)9}145\\\phantom{48)}\underline{\phantom{9}144\phantom{}}\\\phantom{48)999}1\\\end{array}$$

Since 1 is less than 48, stop the division. The reminder is 1. The topmost line 0023 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 23.

$$\text{Quotient: }23 \text{Reminder: }1$$

Factor

$$\frac{5 \cdot 13 \cdot 17}{2 ^ {4} \cdot 3} = 23\frac{1}{48} = 23.020833333333332$$