Solve 882/48

$$\frac { 882 } { 48 }$$

Evaluate

$$\frac{147}{8}=18.375$$

Steps For Long Division Method

Use the 1^{st} digit 8 from dividend 882

$$\begin{array}{l}\phantom{48)}\phantom{1}\\48\overline{)882}\\\end{array}$$

Since 8 is less than 48, use the next digit 8 from dividend 882 and add 0 to the quotient

$$\begin{array}{l}\phantom{48)}0\phantom{2}\\48\overline{)882}\\\end{array}$$

Use the 2^{nd} digit 8 from dividend 882

$$\begin{array}{l}\phantom{48)}0\phantom{3}\\48\overline{)882}\\\end{array}$$

Find closest multiple of 48 to 88. We see that 1 \times 48 = 48 is the nearest. Now subtract 48 from 88 to get reminder 40. Add 1 to quotient.

$$\begin{array}{l}\phantom{48)}01\phantom{4}\\48\overline{)882}\\\phantom{48)}\underline{\phantom{}48\phantom{9}}\\\phantom{48)}40\\\end{array}$$

Use the 3^{rd} digit 2 from dividend 882

$$\begin{array}{l}\phantom{48)}01\phantom{5}\\48\overline{)882}\\\phantom{48)}\underline{\phantom{}48\phantom{9}}\\\phantom{48)}402\\\end{array}$$

Find closest multiple of 48 to 402. We see that 8 \times 48 = 384 is the nearest. Now subtract 384 from 402 to get reminder 18. Add 8 to quotient.

$$\begin{array}{l}\phantom{48)}018\phantom{6}\\48\overline{)882}\\\phantom{48)}\underline{\phantom{}48\phantom{9}}\\\phantom{48)}402\\\phantom{48)}\underline{\phantom{}384\phantom{}}\\\phantom{48)9}18\\\end{array}$$

Since 18 is less than 48, stop the division. The reminder is 18. The topmost line 018 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 18.

$$\text{Quotient: }18 \text{Reminder: }18$$

Factor

$$\frac{3 \cdot 7 ^ {2}}{2 ^ {3}} = 18\frac{3}{8} = 18.375$$