Solve 8022div48

$$8022 \div 48$$

Evaluate

$$\frac{1337}{8}=167.125$$

Steps For Long Division Method

Use the 1^{st} digit 8 from dividend 8022

$$\begin{array}{l}\phantom{48)}\phantom{1}\\48\overline{)8022}\\\end{array}$$

Since 8 is less than 48, use the next digit 0 from dividend 8022 and add 0 to the quotient

$$\begin{array}{l}\phantom{48)}0\phantom{2}\\48\overline{)8022}\\\end{array}$$

Use the 2^{nd} digit 0 from dividend 8022

$$\begin{array}{l}\phantom{48)}0\phantom{3}\\48\overline{)8022}\\\end{array}$$

Find closest multiple of 48 to 80. We see that 1 \times 48 = 48 is the nearest. Now subtract 48 from 80 to get reminder 32. Add 1 to quotient.

$$\begin{array}{l}\phantom{48)}01\phantom{4}\\48\overline{)8022}\\\phantom{48)}\underline{\phantom{}48\phantom{99}}\\\phantom{48)}32\\\end{array}$$

Use the 3^{rd} digit 2 from dividend 8022

$$\begin{array}{l}\phantom{48)}01\phantom{5}\\48\overline{)8022}\\\phantom{48)}\underline{\phantom{}48\phantom{99}}\\\phantom{48)}322\\\end{array}$$

Find closest multiple of 48 to 322. We see that 6 \times 48 = 288 is the nearest. Now subtract 288 from 322 to get reminder 34. Add 6 to quotient.

$$\begin{array}{l}\phantom{48)}016\phantom{6}\\48\overline{)8022}\\\phantom{48)}\underline{\phantom{}48\phantom{99}}\\\phantom{48)}322\\\phantom{48)}\underline{\phantom{}288\phantom{9}}\\\phantom{48)9}34\\\end{array}$$

Use the 4^{th} digit 2 from dividend 8022

$$\begin{array}{l}\phantom{48)}016\phantom{7}\\48\overline{)8022}\\\phantom{48)}\underline{\phantom{}48\phantom{99}}\\\phantom{48)}322\\\phantom{48)}\underline{\phantom{}288\phantom{9}}\\\phantom{48)9}342\\\end{array}$$

Find closest multiple of 48 to 342. We see that 7 \times 48 = 336 is the nearest. Now subtract 336 from 342 to get reminder 6. Add 7 to quotient.

$$\begin{array}{l}\phantom{48)}0167\phantom{8}\\48\overline{)8022}\\\phantom{48)}\underline{\phantom{}48\phantom{99}}\\\phantom{48)}322\\\phantom{48)}\underline{\phantom{}288\phantom{9}}\\\phantom{48)9}342\\\phantom{48)}\underline{\phantom{9}336\phantom{}}\\\phantom{48)999}6\\\end{array}$$

Since 6 is less than 48, stop the division. The reminder is 6. The topmost line 0167 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 167.

$$\text{Quotient: }167 \text{Reminder: }6$$

Factor

$$\frac{7 \cdot 191}{2 ^ {3}} = 167\frac{1}{8} = 167.125$$