Solve 798/18

$$\frac { 798 } { 18 }$$

Evaluate

$$\frac{133}{3}\approx 44.333333333$$

Steps For Long Division Method

Use the 1^{st} digit 7 from dividend 798

$$\begin{array}{l}\phantom{18)}\phantom{1}\\18\overline{)798}\\\end{array}$$

Since 7 is less than 18, use the next digit 9 from dividend 798 and add 0 to the quotient

$$\begin{array}{l}\phantom{18)}0\phantom{2}\\18\overline{)798}\\\end{array}$$

Use the 2^{nd} digit 9 from dividend 798

$$\begin{array}{l}\phantom{18)}0\phantom{3}\\18\overline{)798}\\\end{array}$$

Find closest multiple of 18 to 79. We see that 4 \times 18 = 72 is the nearest. Now subtract 72 from 79 to get reminder 7. Add 4 to quotient.

$$\begin{array}{l}\phantom{18)}04\phantom{4}\\18\overline{)798}\\\phantom{18)}\underline{\phantom{}72\phantom{9}}\\\phantom{18)9}7\\\end{array}$$

Use the 3^{rd} digit 8 from dividend 798

$$\begin{array}{l}\phantom{18)}04\phantom{5}\\18\overline{)798}\\\phantom{18)}\underline{\phantom{}72\phantom{9}}\\\phantom{18)9}78\\\end{array}$$

Find closest multiple of 18 to 78. We see that 4 \times 18 = 72 is the nearest. Now subtract 72 from 78 to get reminder 6. Add 4 to quotient.

$$\begin{array}{l}\phantom{18)}044\phantom{6}\\18\overline{)798}\\\phantom{18)}\underline{\phantom{}72\phantom{9}}\\\phantom{18)9}78\\\phantom{18)}\underline{\phantom{9}72\phantom{}}\\\phantom{18)99}6\\\end{array}$$

Since 6 is less than 18, stop the division. The reminder is 6. The topmost line 044 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 44.

$$\text{Quotient: }44 \text{Reminder: }6$$

Factor

$$\frac{7 \cdot 19}{3} = 44\frac{1}{3} = 44.333333333333336$$