Solve 1150/46

$$\frac { 1150 } { 46 }$$

Evaluate

$$25$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 1150

$$\begin{array}{l}\phantom{46)}\phantom{1}\\46\overline{)1150}\\\end{array}$$

Since 1 is less than 46, use the next digit 1 from dividend 1150 and add 0 to the quotient

$$\begin{array}{l}\phantom{46)}0\phantom{2}\\46\overline{)1150}\\\end{array}$$

Use the 2^{nd} digit 1 from dividend 1150

$$\begin{array}{l}\phantom{46)}0\phantom{3}\\46\overline{)1150}\\\end{array}$$

Since 11 is less than 46, use the next digit 5 from dividend 1150 and add 0 to the quotient

$$\begin{array}{l}\phantom{46)}00\phantom{4}\\46\overline{)1150}\\\end{array}$$

Use the 3^{rd} digit 5 from dividend 1150

$$\begin{array}{l}\phantom{46)}00\phantom{5}\\46\overline{)1150}\\\end{array}$$

Find closest multiple of 46 to 115. We see that 2 \times 46 = 92 is the nearest. Now subtract 92 from 115 to get reminder 23. Add 2 to quotient.

$$\begin{array}{l}\phantom{46)}002\phantom{6}\\46\overline{)1150}\\\phantom{46)}\underline{\phantom{9}92\phantom{9}}\\\phantom{46)9}23\\\end{array}$$

Use the 4^{th} digit 0 from dividend 1150

$$\begin{array}{l}\phantom{46)}002\phantom{7}\\46\overline{)1150}\\\phantom{46)}\underline{\phantom{9}92\phantom{9}}\\\phantom{46)9}230\\\end{array}$$

Find closest multiple of 46 to 230. We see that 5 \times 46 = 230 is the nearest. Now subtract 230 from 230 to get reminder 0. Add 5 to quotient.

$$\begin{array}{l}\phantom{46)}0025\phantom{8}\\46\overline{)1150}\\\phantom{46)}\underline{\phantom{9}92\phantom{9}}\\\phantom{46)9}230\\\phantom{46)}\underline{\phantom{9}230\phantom{}}\\\phantom{46)9999}0\\\end{array}$$

Since 0 is less than 46, stop the division. The reminder is 0. The topmost line 0025 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 25.

$$\text{Quotient: }25 \text{Reminder: }0$$

Factor

$$5^{2}$$