Solve 58/46

$$\frac { 58 } { 46 }$$

Evaluate

$$\frac{29}{23}\approx 1.260869565$$

Steps For Long Division Method

Use the 1^{st} digit 5 from dividend 58

$$\begin{array}{l}\phantom{46)}\phantom{1}\\46\overline{)58}\\\end{array}$$

Since 5 is less than 46, use the next digit 8 from dividend 58 and add 0 to the quotient

$$\begin{array}{l}\phantom{46)}0\phantom{2}\\46\overline{)58}\\\end{array}$$

Use the 2^{nd} digit 8 from dividend 58

$$\begin{array}{l}\phantom{46)}0\phantom{3}\\46\overline{)58}\\\end{array}$$

Find closest multiple of 46 to 58. We see that 1 \times 46 = 46 is the nearest. Now subtract 46 from 58 to get reminder 12. Add 1 to quotient.

$$\begin{array}{l}\phantom{46)}01\phantom{4}\\46\overline{)58}\\\phantom{46)}\underline{\phantom{}46\phantom{}}\\\phantom{46)}12\\\end{array}$$

Since 12 is less than 46, stop the division. The reminder is 12. The topmost line 01 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 1.

$$\text{Quotient: }1 \text{Reminder: }12$$

Factor

$$\frac{29}{23} = 1\frac{6}{23} = 1.2608695652173914$$