Solve 51/48

$$\frac { 51 } { 48 }$$

Evaluate

$$\frac{17}{16}=1.0625$$

Steps For Long Division Method

Use the 1^{st} digit 5 from dividend 51

$$\begin{array}{l}\phantom{48)}\phantom{1}\\48\overline{)51}\\\end{array}$$

Since 5 is less than 48, use the next digit 1 from dividend 51 and add 0 to the quotient

$$\begin{array}{l}\phantom{48)}0\phantom{2}\\48\overline{)51}\\\end{array}$$

Use the 2^{nd} digit 1 from dividend 51

$$\begin{array}{l}\phantom{48)}0\phantom{3}\\48\overline{)51}\\\end{array}$$

Find closest multiple of 48 to 51. We see that 1 \times 48 = 48 is the nearest. Now subtract 48 from 51 to get reminder 3. Add 1 to quotient.

$$\begin{array}{l}\phantom{48)}01\phantom{4}\\48\overline{)51}\\\phantom{48)}\underline{\phantom{}48\phantom{}}\\\phantom{48)9}3\\\end{array}$$

Since 3 is less than 48, stop the division. The reminder is 3. The topmost line 01 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 1.

$$\text{Quotient: }1 \text{Reminder: }3$$

Factor

$$\frac{17}{2 ^ {4}} = 1\frac{1}{16} = 1.0625$$