Solve 4800/188

$$\frac { 4800 } { 188 }$$

Evaluate

$$\frac{1200}{47}\approx 25.531914894$$

Steps For Long Division Method

Use the 1^{st} digit 4 from dividend 4800

$$\begin{array}{l}\phantom{188)}\phantom{1}\\188\overline{)4800}\\\end{array}$$

Since 4 is less than 188, use the next digit 8 from dividend 4800 and add 0 to the quotient

$$\begin{array}{l}\phantom{188)}0\phantom{2}\\188\overline{)4800}\\\end{array}$$

Use the 2^{nd} digit 8 from dividend 4800

$$\begin{array}{l}\phantom{188)}0\phantom{3}\\188\overline{)4800}\\\end{array}$$

Since 48 is less than 188, use the next digit 0 from dividend 4800 and add 0 to the quotient

$$\begin{array}{l}\phantom{188)}00\phantom{4}\\188\overline{)4800}\\\end{array}$$

Use the 3^{rd} digit 0 from dividend 4800

$$\begin{array}{l}\phantom{188)}00\phantom{5}\\188\overline{)4800}\\\end{array}$$

Find closest multiple of 188 to 480. We see that 2 \times 188 = 376 is the nearest. Now subtract 376 from 480 to get reminder 104. Add 2 to quotient.

$$\begin{array}{l}\phantom{188)}002\phantom{6}\\188\overline{)4800}\\\phantom{188)}\underline{\phantom{}376\phantom{9}}\\\phantom{188)}104\\\end{array}$$

Use the 4^{th} digit 0 from dividend 4800

$$\begin{array}{l}\phantom{188)}002\phantom{7}\\188\overline{)4800}\\\phantom{188)}\underline{\phantom{}376\phantom{9}}\\\phantom{188)}1040\\\end{array}$$

Find closest multiple of 188 to 1040. We see that 5 \times 188 = 940 is the nearest. Now subtract 940 from 1040 to get reminder 100. Add 5 to quotient.

$$\begin{array}{l}\phantom{188)}0025\phantom{8}\\188\overline{)4800}\\\phantom{188)}\underline{\phantom{}376\phantom{9}}\\\phantom{188)}1040\\\phantom{188)}\underline{\phantom{9}940\phantom{}}\\\phantom{188)9}100\\\end{array}$$

Since 100 is less than 188, stop the division. The reminder is 100. The topmost line 0025 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 25.

$$\text{Quotient: }25 \text{Reminder: }100$$

Factor

$$\frac{2 ^ {4} \cdot 3 \cdot 5 ^ {2}}{47} = 25\frac{25}{47} = 25.53191489361702$$