Solve 18601div76

$$18601 \div 76$$

Evaluate

$$\frac{979}{4}=244.75$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 18601

$$\begin{array}{l}\phantom{76)}\phantom{1}\\76\overline{)18601}\\\end{array}$$

Since 1 is less than 76, use the next digit 8 from dividend 18601 and add 0 to the quotient

$$\begin{array}{l}\phantom{76)}0\phantom{2}\\76\overline{)18601}\\\end{array}$$

Use the 2^{nd} digit 8 from dividend 18601

$$\begin{array}{l}\phantom{76)}0\phantom{3}\\76\overline{)18601}\\\end{array}$$

Since 18 is less than 76, use the next digit 6 from dividend 18601 and add 0 to the quotient

$$\begin{array}{l}\phantom{76)}00\phantom{4}\\76\overline{)18601}\\\end{array}$$

Use the 3^{rd} digit 6 from dividend 18601

$$\begin{array}{l}\phantom{76)}00\phantom{5}\\76\overline{)18601}\\\end{array}$$

Find closest multiple of 76 to 186. We see that 2 \times 76 = 152 is the nearest. Now subtract 152 from 186 to get reminder 34. Add 2 to quotient.

$$\begin{array}{l}\phantom{76)}002\phantom{6}\\76\overline{)18601}\\\phantom{76)}\underline{\phantom{}152\phantom{99}}\\\phantom{76)9}34\\\end{array}$$

Use the 4^{th} digit 0 from dividend 18601

$$\begin{array}{l}\phantom{76)}002\phantom{7}\\76\overline{)18601}\\\phantom{76)}\underline{\phantom{}152\phantom{99}}\\\phantom{76)9}340\\\end{array}$$

Find closest multiple of 76 to 340. We see that 4 \times 76 = 304 is the nearest. Now subtract 304 from 340 to get reminder 36. Add 4 to quotient.

$$\begin{array}{l}\phantom{76)}0024\phantom{8}\\76\overline{)18601}\\\phantom{76)}\underline{\phantom{}152\phantom{99}}\\\phantom{76)9}340\\\phantom{76)}\underline{\phantom{9}304\phantom{9}}\\\phantom{76)99}36\\\end{array}$$

Use the 5^{th} digit 1 from dividend 18601

$$\begin{array}{l}\phantom{76)}0024\phantom{9}\\76\overline{)18601}\\\phantom{76)}\underline{\phantom{}152\phantom{99}}\\\phantom{76)9}340\\\phantom{76)}\underline{\phantom{9}304\phantom{9}}\\\phantom{76)99}361\\\end{array}$$

Find closest multiple of 76 to 361. We see that 4 \times 76 = 304 is the nearest. Now subtract 304 from 361 to get reminder 57. Add 4 to quotient.

$$\begin{array}{l}\phantom{76)}00244\phantom{10}\\76\overline{)18601}\\\phantom{76)}\underline{\phantom{}152\phantom{99}}\\\phantom{76)9}340\\\phantom{76)}\underline{\phantom{9}304\phantom{9}}\\\phantom{76)99}361\\\phantom{76)}\underline{\phantom{99}304\phantom{}}\\\phantom{76)999}57\\\end{array}$$

Since 57 is less than 76, stop the division. The reminder is 57. The topmost line 00244 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 244.

$$\text{Quotient: }244 \text{Reminder: }57$$

Factor

$$\frac{11 \cdot 89}{2 ^ {2}} = 244\frac{3}{4} = 244.75$$