Solve 148/46

$$\frac { 148 } { 46 }$$

Evaluate

$$\frac{74}{23}\approx 3.217391304$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 148

$$\begin{array}{l}\phantom{46)}\phantom{1}\\46\overline{)148}\\\end{array}$$

Since 1 is less than 46, use the next digit 4 from dividend 148 and add 0 to the quotient

$$\begin{array}{l}\phantom{46)}0\phantom{2}\\46\overline{)148}\\\end{array}$$

Use the 2^{nd} digit 4 from dividend 148

$$\begin{array}{l}\phantom{46)}0\phantom{3}\\46\overline{)148}\\\end{array}$$

Since 14 is less than 46, use the next digit 8 from dividend 148 and add 0 to the quotient

$$\begin{array}{l}\phantom{46)}00\phantom{4}\\46\overline{)148}\\\end{array}$$

Use the 3^{rd} digit 8 from dividend 148

$$\begin{array}{l}\phantom{46)}00\phantom{5}\\46\overline{)148}\\\end{array}$$

Find closest multiple of 46 to 148. We see that 3 \times 46 = 138 is the nearest. Now subtract 138 from 148 to get reminder 10. Add 3 to quotient.

$$\begin{array}{l}\phantom{46)}003\phantom{6}\\46\overline{)148}\\\phantom{46)}\underline{\phantom{}138\phantom{}}\\\phantom{46)9}10\\\end{array}$$

Since 10 is less than 46, stop the division. The reminder is 10. The topmost line 003 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 3.

$$\text{Quotient: }3 \text{Reminder: }10$$

Factor

$$\frac{2 \cdot 37}{23} = 3\frac{5}{23} = 3.217391304347826$$