Solve 1137/909

$$\frac { 1137 } { 909 }$$

Evaluate

$$\frac{379}{303}\approx 1.250825083$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 1137

$$\begin{array}{l}\phantom{909)}\phantom{1}\\909\overline{)1137}\\\end{array}$$

Since 1 is less than 909, use the next digit 1 from dividend 1137 and add 0 to the quotient

$$\begin{array}{l}\phantom{909)}0\phantom{2}\\909\overline{)1137}\\\end{array}$$

Use the 2^{nd} digit 1 from dividend 1137

$$\begin{array}{l}\phantom{909)}0\phantom{3}\\909\overline{)1137}\\\end{array}$$

Since 11 is less than 909, use the next digit 3 from dividend 1137 and add 0 to the quotient

$$\begin{array}{l}\phantom{909)}00\phantom{4}\\909\overline{)1137}\\\end{array}$$

Use the 3^{rd} digit 3 from dividend 1137

$$\begin{array}{l}\phantom{909)}00\phantom{5}\\909\overline{)1137}\\\end{array}$$

Since 113 is less than 909, use the next digit 7 from dividend 1137 and add 0 to the quotient

$$\begin{array}{l}\phantom{909)}000\phantom{6}\\909\overline{)1137}\\\end{array}$$

Use the 4^{th} digit 7 from dividend 1137

$$\begin{array}{l}\phantom{909)}000\phantom{7}\\909\overline{)1137}\\\end{array}$$

Find closest multiple of 909 to 1137. We see that 1 \times 909 = 909 is the nearest. Now subtract 909 from 1137 to get reminder 228. Add 1 to quotient.

$$\begin{array}{l}\phantom{909)}0001\phantom{8}\\909\overline{)1137}\\\phantom{909)}\underline{\phantom{9}909\phantom{}}\\\phantom{909)9}228\\\end{array}$$

Since 228 is less than 909, stop the division. The reminder is 228. The topmost line 0001 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 1.

$$\text{Quotient: }1 \text{Reminder: }228$$

Factor

$$\frac{379}{3 \cdot 101} = 1\frac{76}{303} = 1.2508250825082508$$