Solve 2003/51

$$\frac { 2003 } { 51 }$$

Evaluate

$$\frac{2003}{51}\approx 39.274509804$$

Steps For Long Division Method

Use the 1^{st} digit 2 from dividend 2003

$$\begin{array}{l}\phantom{51)}\phantom{1}\\51\overline{)2003}\\\end{array}$$

Since 2 is less than 51, use the next digit 0 from dividend 2003 and add 0 to the quotient

$$\begin{array}{l}\phantom{51)}0\phantom{2}\\51\overline{)2003}\\\end{array}$$

Use the 2^{nd} digit 0 from dividend 2003

$$\begin{array}{l}\phantom{51)}0\phantom{3}\\51\overline{)2003}\\\end{array}$$

Since 20 is less than 51, use the next digit 0 from dividend 2003 and add 0 to the quotient

$$\begin{array}{l}\phantom{51)}00\phantom{4}\\51\overline{)2003}\\\end{array}$$

Use the 3^{rd} digit 0 from dividend 2003

$$\begin{array}{l}\phantom{51)}00\phantom{5}\\51\overline{)2003}\\\end{array}$$

Find closest multiple of 51 to 200. We see that 3 \times 51 = 153 is the nearest. Now subtract 153 from 200 to get reminder 47. Add 3 to quotient.

$$\begin{array}{l}\phantom{51)}003\phantom{6}\\51\overline{)2003}\\\phantom{51)}\underline{\phantom{}153\phantom{9}}\\\phantom{51)9}47\\\end{array}$$

Use the 4^{th} digit 3 from dividend 2003

$$\begin{array}{l}\phantom{51)}003\phantom{7}\\51\overline{)2003}\\\phantom{51)}\underline{\phantom{}153\phantom{9}}\\\phantom{51)9}473\\\end{array}$$

Find closest multiple of 51 to 473. We see that 9 \times 51 = 459 is the nearest. Now subtract 459 from 473 to get reminder 14. Add 9 to quotient.

$$\begin{array}{l}\phantom{51)}0039\phantom{8}\\51\overline{)2003}\\\phantom{51)}\underline{\phantom{}153\phantom{9}}\\\phantom{51)9}473\\\phantom{51)}\underline{\phantom{9}459\phantom{}}\\\phantom{51)99}14\\\end{array}$$

Since 14 is less than 51, stop the division. The reminder is 14. The topmost line 0039 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 39.

$$\text{Quotient: }39 \text{Reminder: }14$$

Factor

$$\frac{2003}{3 \cdot 17} = 39\frac{14}{51} = 39.27450980392157$$