Solve 1463/1200

$$\frac{ 1463 }{ 1200 }$$

Evaluate

$$\frac{1463}{1200}\approx 1.219166667$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 1463

$$\begin{array}{l}\phantom{1200)}\phantom{1}\\1200\overline{)1463}\\\end{array}$$

Since 1 is less than 1200, use the next digit 4 from dividend 1463 and add 0 to the quotient

$$\begin{array}{l}\phantom{1200)}0\phantom{2}\\1200\overline{)1463}\\\end{array}$$

Use the 2^{nd} digit 4 from dividend 1463

$$\begin{array}{l}\phantom{1200)}0\phantom{3}\\1200\overline{)1463}\\\end{array}$$

Since 14 is less than 1200, use the next digit 6 from dividend 1463 and add 0 to the quotient

$$\begin{array}{l}\phantom{1200)}00\phantom{4}\\1200\overline{)1463}\\\end{array}$$

Use the 3^{rd} digit 6 from dividend 1463

$$\begin{array}{l}\phantom{1200)}00\phantom{5}\\1200\overline{)1463}\\\end{array}$$

Since 146 is less than 1200, use the next digit 3 from dividend 1463 and add 0 to the quotient

$$\begin{array}{l}\phantom{1200)}000\phantom{6}\\1200\overline{)1463}\\\end{array}$$

Use the 4^{th} digit 3 from dividend 1463

$$\begin{array}{l}\phantom{1200)}000\phantom{7}\\1200\overline{)1463}\\\end{array}$$

Find closest multiple of 1200 to 1463. We see that 1 \times 1200 = 1200 is the nearest. Now subtract 1200 from 1463 to get reminder 263. Add 1 to quotient.

$$\begin{array}{l}\phantom{1200)}0001\phantom{8}\\1200\overline{)1463}\\\phantom{1200)}\underline{\phantom{}1200\phantom{}}\\\phantom{1200)9}263\\\end{array}$$

Since 263 is less than 1200, stop the division. The reminder is 263. The topmost line 0001 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 1.

$$\text{Quotient: }1 \text{Reminder: }263$$

Factor

$$\frac{7 \cdot 11 \cdot 19}{2 ^ {4} \cdot 3 \cdot 5 ^ {2}} = 1\frac{263}{1200} = 1.2191666666666667$$