Solve 2800/64

$$\frac { 2800 } { 64 }$$

Evaluate

$$\frac{175}{4}=43.75$$

Steps For Long Division Method

Use the 1^{st} digit 2 from dividend 2800

$$\begin{array}{l}\phantom{64)}\phantom{1}\\64\overline{)2800}\\\end{array}$$

Since 2 is less than 64, use the next digit 8 from dividend 2800 and add 0 to the quotient

$$\begin{array}{l}\phantom{64)}0\phantom{2}\\64\overline{)2800}\\\end{array}$$

Use the 2^{nd} digit 8 from dividend 2800

$$\begin{array}{l}\phantom{64)}0\phantom{3}\\64\overline{)2800}\\\end{array}$$

Since 28 is less than 64, use the next digit 0 from dividend 2800 and add 0 to the quotient

$$\begin{array}{l}\phantom{64)}00\phantom{4}\\64\overline{)2800}\\\end{array}$$

Use the 3^{rd} digit 0 from dividend 2800

$$\begin{array}{l}\phantom{64)}00\phantom{5}\\64\overline{)2800}\\\end{array}$$

Find closest multiple of 64 to 280. We see that 4 \times 64 = 256 is the nearest. Now subtract 256 from 280 to get reminder 24. Add 4 to quotient.

$$\begin{array}{l}\phantom{64)}004\phantom{6}\\64\overline{)2800}\\\phantom{64)}\underline{\phantom{}256\phantom{9}}\\\phantom{64)9}24\\\end{array}$$

Use the 4^{th} digit 0 from dividend 2800

$$\begin{array}{l}\phantom{64)}004\phantom{7}\\64\overline{)2800}\\\phantom{64)}\underline{\phantom{}256\phantom{9}}\\\phantom{64)9}240\\\end{array}$$

Find closest multiple of 64 to 240. We see that 3 \times 64 = 192 is the nearest. Now subtract 192 from 240 to get reminder 48. Add 3 to quotient.

$$\begin{array}{l}\phantom{64)}0043\phantom{8}\\64\overline{)2800}\\\phantom{64)}\underline{\phantom{}256\phantom{9}}\\\phantom{64)9}240\\\phantom{64)}\underline{\phantom{9}192\phantom{}}\\\phantom{64)99}48\\\end{array}$$

Since 48 is less than 64, stop the division. The reminder is 48. The topmost line 0043 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 43.

$$\text{Quotient: }43 \text{Reminder: }48$$

Factor

$$\frac{5 ^ {2} \cdot 7}{2 ^ {2}} = 43\frac{3}{4} = 43.75$$