Solve 145/35

$$\frac { 145 } { 35 }$$

Evaluate

$$\frac{29}{7}\approx 4.142857143$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 145

$$\begin{array}{l}\phantom{35)}\phantom{1}\\35\overline{)145}\\\end{array}$$

Since 1 is less than 35, use the next digit 4 from dividend 145 and add 0 to the quotient

$$\begin{array}{l}\phantom{35)}0\phantom{2}\\35\overline{)145}\\\end{array}$$

Use the 2^{nd} digit 4 from dividend 145

$$\begin{array}{l}\phantom{35)}0\phantom{3}\\35\overline{)145}\\\end{array}$$

Since 14 is less than 35, use the next digit 5 from dividend 145 and add 0 to the quotient

$$\begin{array}{l}\phantom{35)}00\phantom{4}\\35\overline{)145}\\\end{array}$$

Use the 3^{rd} digit 5 from dividend 145

$$\begin{array}{l}\phantom{35)}00\phantom{5}\\35\overline{)145}\\\end{array}$$

Find closest multiple of 35 to 145. We see that 4 \times 35 = 140 is the nearest. Now subtract 140 from 145 to get reminder 5. Add 4 to quotient.

$$\begin{array}{l}\phantom{35)}004\phantom{6}\\35\overline{)145}\\\phantom{35)}\underline{\phantom{}140\phantom{}}\\\phantom{35)99}5\\\end{array}$$

Since 5 is less than 35, stop the division. The reminder is 5. The topmost line 004 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 4.

$$\text{Quotient: }4 \text{Reminder: }5$$

Factor

$$\frac{29}{7} = 4\frac{1}{7} = 4.142857142857143$$