Solve 101/48

$$\frac{ 101 }{ 48 }$$

Evaluate

$$\frac{101}{48}\approx 2.104166667$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 101

$$\begin{array}{l}\phantom{48)}\phantom{1}\\48\overline{)101}\\\end{array}$$

Since 1 is less than 48, use the next digit 0 from dividend 101 and add 0 to the quotient

$$\begin{array}{l}\phantom{48)}0\phantom{2}\\48\overline{)101}\\\end{array}$$

Use the 2^{nd} digit 0 from dividend 101

$$\begin{array}{l}\phantom{48)}0\phantom{3}\\48\overline{)101}\\\end{array}$$

Since 10 is less than 48, use the next digit 1 from dividend 101 and add 0 to the quotient

$$\begin{array}{l}\phantom{48)}00\phantom{4}\\48\overline{)101}\\\end{array}$$

Use the 3^{rd} digit 1 from dividend 101

$$\begin{array}{l}\phantom{48)}00\phantom{5}\\48\overline{)101}\\\end{array}$$

Find closest multiple of 48 to 101. We see that 2 \times 48 = 96 is the nearest. Now subtract 96 from 101 to get reminder 5. Add 2 to quotient.

$$\begin{array}{l}\phantom{48)}002\phantom{6}\\48\overline{)101}\\\phantom{48)}\underline{\phantom{9}96\phantom{}}\\\phantom{48)99}5\\\end{array}$$

Since 5 is less than 48, stop the division. The reminder is 5. The topmost line 002 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 2.

$$\text{Quotient: }2 \text{Reminder: }5$$

Factor

$$\frac{101}{2 ^ {4} \cdot 3} = 2\frac{5}{48} = 2.1041666666666665$$