Solve 4455/28

$$\frac { 4455 } { 28 }$$

Evaluate

$$\frac{4455}{28}\approx 159.107142857$$

Steps For Long Division Method

Use the 1^{st} digit 4 from dividend 4455

$$\begin{array}{l}\phantom{28)}\phantom{1}\\28\overline{)4455}\\\end{array}$$

Since 4 is less than 28, use the next digit 4 from dividend 4455 and add 0 to the quotient

$$\begin{array}{l}\phantom{28)}0\phantom{2}\\28\overline{)4455}\\\end{array}$$

Use the 2^{nd} digit 4 from dividend 4455

$$\begin{array}{l}\phantom{28)}0\phantom{3}\\28\overline{)4455}\\\end{array}$$

Find closest multiple of 28 to 44. We see that 1 \times 28 = 28 is the nearest. Now subtract 28 from 44 to get reminder 16. Add 1 to quotient.

$$\begin{array}{l}\phantom{28)}01\phantom{4}\\28\overline{)4455}\\\phantom{28)}\underline{\phantom{}28\phantom{99}}\\\phantom{28)}16\\\end{array}$$

Use the 3^{rd} digit 5 from dividend 4455

$$\begin{array}{l}\phantom{28)}01\phantom{5}\\28\overline{)4455}\\\phantom{28)}\underline{\phantom{}28\phantom{99}}\\\phantom{28)}165\\\end{array}$$

Find closest multiple of 28 to 165. We see that 5 \times 28 = 140 is the nearest. Now subtract 140 from 165 to get reminder 25. Add 5 to quotient.

$$\begin{array}{l}\phantom{28)}015\phantom{6}\\28\overline{)4455}\\\phantom{28)}\underline{\phantom{}28\phantom{99}}\\\phantom{28)}165\\\phantom{28)}\underline{\phantom{}140\phantom{9}}\\\phantom{28)9}25\\\end{array}$$

Use the 4^{th} digit 5 from dividend 4455

$$\begin{array}{l}\phantom{28)}015\phantom{7}\\28\overline{)4455}\\\phantom{28)}\underline{\phantom{}28\phantom{99}}\\\phantom{28)}165\\\phantom{28)}\underline{\phantom{}140\phantom{9}}\\\phantom{28)9}255\\\end{array}$$

Find closest multiple of 28 to 255. We see that 9 \times 28 = 252 is the nearest. Now subtract 252 from 255 to get reminder 3. Add 9 to quotient.

$$\begin{array}{l}\phantom{28)}0159\phantom{8}\\28\overline{)4455}\\\phantom{28)}\underline{\phantom{}28\phantom{99}}\\\phantom{28)}165\\\phantom{28)}\underline{\phantom{}140\phantom{9}}\\\phantom{28)9}255\\\phantom{28)}\underline{\phantom{9}252\phantom{}}\\\phantom{28)999}3\\\end{array}$$

Since 3 is less than 28, stop the division. The reminder is 3. The topmost line 0159 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 159.

$$\text{Quotient: }159 \text{Reminder: }3$$

Factor

$$\frac{3 ^ {4} \cdot 5 \cdot 11}{2 ^ {2} \cdot 7} = 159\frac{3}{28} = 159.10714285714286$$