Solve 10048:7336=?

$$10048 : 7336 = ?$$

Evaluate

$$\frac{1256}{917}\approx 1.369683751$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 10048

$$\begin{array}{l}\phantom{7336)}\phantom{1}\\7336\overline{)10048}\\\end{array}$$

Since 1 is less than 7336, use the next digit 0 from dividend 10048 and add 0 to the quotient

$$\begin{array}{l}\phantom{7336)}0\phantom{2}\\7336\overline{)10048}\\\end{array}$$

Use the 2^{nd} digit 0 from dividend 10048

$$\begin{array}{l}\phantom{7336)}0\phantom{3}\\7336\overline{)10048}\\\end{array}$$

Since 10 is less than 7336, use the next digit 0 from dividend 10048 and add 0 to the quotient

$$\begin{array}{l}\phantom{7336)}00\phantom{4}\\7336\overline{)10048}\\\end{array}$$

Use the 3^{rd} digit 0 from dividend 10048

$$\begin{array}{l}\phantom{7336)}00\phantom{5}\\7336\overline{)10048}\\\end{array}$$

Since 100 is less than 7336, use the next digit 4 from dividend 10048 and add 0 to the quotient

$$\begin{array}{l}\phantom{7336)}000\phantom{6}\\7336\overline{)10048}\\\end{array}$$

Use the 4^{th} digit 4 from dividend 10048

$$\begin{array}{l}\phantom{7336)}000\phantom{7}\\7336\overline{)10048}\\\end{array}$$

Since 1004 is less than 7336, use the next digit 8 from dividend 10048 and add 0 to the quotient

$$\begin{array}{l}\phantom{7336)}0000\phantom{8}\\7336\overline{)10048}\\\end{array}$$

Use the 5^{th} digit 8 from dividend 10048

$$\begin{array}{l}\phantom{7336)}0000\phantom{9}\\7336\overline{)10048}\\\end{array}$$

Find closest multiple of 7336 to 10048. We see that 1 \times 7336 = 7336 is the nearest. Now subtract 7336 from 10048 to get reminder 2712. Add 1 to quotient.

$$\begin{array}{l}\phantom{7336)}00001\phantom{10}\\7336\overline{)10048}\\\phantom{7336)}\underline{\phantom{9}7336\phantom{}}\\\phantom{7336)9}2712\\\end{array}$$

Since 2712 is less than 7336, stop the division. The reminder is 2712. The topmost line 00001 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 1.

$$\text{Quotient: }1 \text{Reminder: }2712$$

Factor

$$\frac{2 ^ {3} \cdot 157}{7 \cdot 131} = 1\frac{339}{917} = 1.3696837513631406$$