Solve 1545:735

$$1545 : 735$$

Evaluate

$$\frac{103}{49}\approx 2.102040816$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 1545

$$\begin{array}{l}\phantom{735)}\phantom{1}\\735\overline{)1545}\\\end{array}$$

Since 1 is less than 735, use the next digit 5 from dividend 1545 and add 0 to the quotient

$$\begin{array}{l}\phantom{735)}0\phantom{2}\\735\overline{)1545}\\\end{array}$$

Use the 2^{nd} digit 5 from dividend 1545

$$\begin{array}{l}\phantom{735)}0\phantom{3}\\735\overline{)1545}\\\end{array}$$

Since 15 is less than 735, use the next digit 4 from dividend 1545 and add 0 to the quotient

$$\begin{array}{l}\phantom{735)}00\phantom{4}\\735\overline{)1545}\\\end{array}$$

Use the 3^{rd} digit 4 from dividend 1545

$$\begin{array}{l}\phantom{735)}00\phantom{5}\\735\overline{)1545}\\\end{array}$$

Since 154 is less than 735, use the next digit 5 from dividend 1545 and add 0 to the quotient

$$\begin{array}{l}\phantom{735)}000\phantom{6}\\735\overline{)1545}\\\end{array}$$

Use the 4^{th} digit 5 from dividend 1545

$$\begin{array}{l}\phantom{735)}000\phantom{7}\\735\overline{)1545}\\\end{array}$$

Find closest multiple of 735 to 1545. We see that 2 \times 735 = 1470 is the nearest. Now subtract 1470 from 1545 to get reminder 75. Add 2 to quotient.

$$\begin{array}{l}\phantom{735)}0002\phantom{8}\\735\overline{)1545}\\\phantom{735)}\underline{\phantom{}1470\phantom{}}\\\phantom{735)99}75\\\end{array}$$

Since 75 is less than 735, stop the division. The reminder is 75. The topmost line 0002 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 2.

$$\text{Quotient: }2 \text{Reminder: }75$$

Factor

$$\frac{103}{7 ^ {2}} = 2\frac{5}{49} = 2.1020408163265305$$