Solve 6796div64

$$6796 \div 64$$

Evaluate

$$\frac{1699}{16}=106.1875$$

Steps For Long Division Method

Use the 1^{st} digit 6 from dividend 6796

$$\begin{array}{l}\phantom{64)}\phantom{1}\\64\overline{)6796}\\\end{array}$$

Since 6 is less than 64, use the next digit 7 from dividend 6796 and add 0 to the quotient

$$\begin{array}{l}\phantom{64)}0\phantom{2}\\64\overline{)6796}\\\end{array}$$

Use the 2^{nd} digit 7 from dividend 6796

$$\begin{array}{l}\phantom{64)}0\phantom{3}\\64\overline{)6796}\\\end{array}$$

Find closest multiple of 64 to 67. We see that 1 \times 64 = 64 is the nearest. Now subtract 64 from 67 to get reminder 3. Add 1 to quotient.

$$\begin{array}{l}\phantom{64)}01\phantom{4}\\64\overline{)6796}\\\phantom{64)}\underline{\phantom{}64\phantom{99}}\\\phantom{64)9}3\\\end{array}$$

Use the 3^{rd} digit 9 from dividend 6796

$$\begin{array}{l}\phantom{64)}01\phantom{5}\\64\overline{)6796}\\\phantom{64)}\underline{\phantom{}64\phantom{99}}\\\phantom{64)9}39\\\end{array}$$

Since 39 is less than 64, use the next digit 6 from dividend 6796 and add 0 to the quotient

$$\begin{array}{l}\phantom{64)}010\phantom{6}\\64\overline{)6796}\\\phantom{64)}\underline{\phantom{}64\phantom{99}}\\\phantom{64)9}39\\\end{array}$$

Use the 4^{th} digit 6 from dividend 6796

$$\begin{array}{l}\phantom{64)}010\phantom{7}\\64\overline{)6796}\\\phantom{64)}\underline{\phantom{}64\phantom{99}}\\\phantom{64)9}396\\\end{array}$$

Find closest multiple of 64 to 396. We see that 6 \times 64 = 384 is the nearest. Now subtract 384 from 396 to get reminder 12. Add 6 to quotient.

$$\begin{array}{l}\phantom{64)}0106\phantom{8}\\64\overline{)6796}\\\phantom{64)}\underline{\phantom{}64\phantom{99}}\\\phantom{64)9}396\\\phantom{64)}\underline{\phantom{9}384\phantom{}}\\\phantom{64)99}12\\\end{array}$$

Since 12 is less than 64, stop the division. The reminder is 12. The topmost line 0106 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 106.

$$\text{Quotient: }106 \text{Reminder: }12$$

Factor

$$\frac{1699}{2 ^ {4}} = 106\frac{3}{16} = 106.1875$$