Solve 7474/98

$$\frac{ 7474 }{ 98 }$$

Evaluate

$$\frac{3737}{49}\approx 76.265306122$$

Steps For Long Division Method

Use the 1^{st} digit 7 from dividend 7474

$$\begin{array}{l}\phantom{98)}\phantom{1}\\98\overline{)7474}\\\end{array}$$

Since 7 is less than 98, use the next digit 4 from dividend 7474 and add 0 to the quotient

$$\begin{array}{l}\phantom{98)}0\phantom{2}\\98\overline{)7474}\\\end{array}$$

Use the 2^{nd} digit 4 from dividend 7474

$$\begin{array}{l}\phantom{98)}0\phantom{3}\\98\overline{)7474}\\\end{array}$$

Since 74 is less than 98, use the next digit 7 from dividend 7474 and add 0 to the quotient

$$\begin{array}{l}\phantom{98)}00\phantom{4}\\98\overline{)7474}\\\end{array}$$

Use the 3^{rd} digit 7 from dividend 7474

$$\begin{array}{l}\phantom{98)}00\phantom{5}\\98\overline{)7474}\\\end{array}$$

Find closest multiple of 98 to 747. We see that 7 \times 98 = 686 is the nearest. Now subtract 686 from 747 to get reminder 61. Add 7 to quotient.

$$\begin{array}{l}\phantom{98)}007\phantom{6}\\98\overline{)7474}\\\phantom{98)}\underline{\phantom{}686\phantom{9}}\\\phantom{98)9}61\\\end{array}$$

Use the 4^{th} digit 4 from dividend 7474

$$\begin{array}{l}\phantom{98)}007\phantom{7}\\98\overline{)7474}\\\phantom{98)}\underline{\phantom{}686\phantom{9}}\\\phantom{98)9}614\\\end{array}$$

Find closest multiple of 98 to 614. We see that 6 \times 98 = 588 is the nearest. Now subtract 588 from 614 to get reminder 26. Add 6 to quotient.

$$\begin{array}{l}\phantom{98)}0076\phantom{8}\\98\overline{)7474}\\\phantom{98)}\underline{\phantom{}686\phantom{9}}\\\phantom{98)9}614\\\phantom{98)}\underline{\phantom{9}588\phantom{}}\\\phantom{98)99}26\\\end{array}$$

Since 26 is less than 98, stop the division. The reminder is 26. The topmost line 0076 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 76.

$$\text{Quotient: }76 \text{Reminder: }26$$

Factor

$$\frac{37 \cdot 101}{7 ^ {2}} = 76\frac{13}{49} = 76.26530612244898$$