Solve 53/48

$$\frac { 53 } { 48 }$$

Evaluate

$$\frac{53}{48}\approx 1.104166667$$

Steps For Long Division Method

Use the 1^{st} digit 5 from dividend 53

$$\begin{array}{l}\phantom{48)}\phantom{1}\\48\overline{)53}\\\end{array}$$

Since 5 is less than 48, use the next digit 3 from dividend 53 and add 0 to the quotient

$$\begin{array}{l}\phantom{48)}0\phantom{2}\\48\overline{)53}\\\end{array}$$

Use the 2^{nd} digit 3 from dividend 53

$$\begin{array}{l}\phantom{48)}0\phantom{3}\\48\overline{)53}\\\end{array}$$

Find closest multiple of 48 to 53. We see that 1 \times 48 = 48 is the nearest. Now subtract 48 from 53 to get reminder 5. Add 1 to quotient.

$$\begin{array}{l}\phantom{48)}01\phantom{4}\\48\overline{)53}\\\phantom{48)}\underline{\phantom{}48\phantom{}}\\\phantom{48)9}5\\\end{array}$$

Since 5 is less than 48, stop the division. The reminder is 5. The topmost line 01 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 1.

$$\text{Quotient: }1 \text{Reminder: }5$$

Factor

$$\frac{53}{2 ^ {4} \cdot 3} = 1\frac{5}{48} = 1.1041666666666667$$