Solve 55/42

$$\frac { 55 } { 42 }$$

Evaluate

$$\frac{55}{42}\approx 1.30952381$$

Steps For Long Division Method

Use the 1^{st} digit 5 from dividend 55

$$\begin{array}{l}\phantom{42)}\phantom{1}\\42\overline{)55}\\\end{array}$$

Since 5 is less than 42, use the next digit 5 from dividend 55 and add 0 to the quotient

$$\begin{array}{l}\phantom{42)}0\phantom{2}\\42\overline{)55}\\\end{array}$$

Use the 2^{nd} digit 5 from dividend 55

$$\begin{array}{l}\phantom{42)}0\phantom{3}\\42\overline{)55}\\\end{array}$$

Find closest multiple of 42 to 55. We see that 1 \times 42 = 42 is the nearest. Now subtract 42 from 55 to get reminder 13. Add 1 to quotient.

$$\begin{array}{l}\phantom{42)}01\phantom{4}\\42\overline{)55}\\\phantom{42)}\underline{\phantom{}42\phantom{}}\\\phantom{42)}13\\\end{array}$$

Since 13 is less than 42, stop the division. The reminder is 13. The topmost line 01 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 1.

$$\text{Quotient: }1 \text{Reminder: }13$$

Factor

$$\frac{5 \cdot 11}{2 \cdot 3 \cdot 7} = 1\frac{13}{42} = 1.3095238095238095$$