Solve 4949/94

$$\frac { 4949 } { 94 }$$

Evaluate

$$\frac{4949}{94}\approx 52.64893617$$

Steps For Long Division Method

Use the 1^{st} digit 4 from dividend 4949

$$\begin{array}{l}\phantom{94)}\phantom{1}\\94\overline{)4949}\\\end{array}$$

Since 4 is less than 94, use the next digit 9 from dividend 4949 and add 0 to the quotient

$$\begin{array}{l}\phantom{94)}0\phantom{2}\\94\overline{)4949}\\\end{array}$$

Use the 2^{nd} digit 9 from dividend 4949

$$\begin{array}{l}\phantom{94)}0\phantom{3}\\94\overline{)4949}\\\end{array}$$

Since 49 is less than 94, use the next digit 4 from dividend 4949 and add 0 to the quotient

$$\begin{array}{l}\phantom{94)}00\phantom{4}\\94\overline{)4949}\\\end{array}$$

Use the 3^{rd} digit 4 from dividend 4949

$$\begin{array}{l}\phantom{94)}00\phantom{5}\\94\overline{)4949}\\\end{array}$$

Find closest multiple of 94 to 494. We see that 5 \times 94 = 470 is the nearest. Now subtract 470 from 494 to get reminder 24. Add 5 to quotient.

$$\begin{array}{l}\phantom{94)}005\phantom{6}\\94\overline{)4949}\\\phantom{94)}\underline{\phantom{}470\phantom{9}}\\\phantom{94)9}24\\\end{array}$$

Use the 4^{th} digit 9 from dividend 4949

$$\begin{array}{l}\phantom{94)}005\phantom{7}\\94\overline{)4949}\\\phantom{94)}\underline{\phantom{}470\phantom{9}}\\\phantom{94)9}249\\\end{array}$$

Find closest multiple of 94 to 249. We see that 2 \times 94 = 188 is the nearest. Now subtract 188 from 249 to get reminder 61. Add 2 to quotient.

$$\begin{array}{l}\phantom{94)}0052\phantom{8}\\94\overline{)4949}\\\phantom{94)}\underline{\phantom{}470\phantom{9}}\\\phantom{94)9}249\\\phantom{94)}\underline{\phantom{9}188\phantom{}}\\\phantom{94)99}61\\\end{array}$$

Since 61 is less than 94, stop the division. The reminder is 61. The topmost line 0052 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 52.

$$\text{Quotient: }52 \text{Reminder: }61$$

Factor

$$\frac{7 ^ {2} \cdot 101}{2 \cdot 47} = 52\frac{61}{94} = 52.648936170212764$$