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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 850 · 40 sums
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The trick (Nikhilam Navatashcaramam Dashatah): Write the complement of the divisor (8 → 2, 97 → 03, 88 → 12, 997 → 003, 897 → 103). Split off as many last digits as the base has zeros (1 for 8, 2 for 88, 3 for 997) — that is the remainder part. Bring down each column total, multiply it by the complement, and add the result under the next column(s). If the remainder is not smaller than the divisor, divide it again and add to the quotient.

NameDateTime takenScore ___ / 40
  1. 1.586885 ÷ 897 =
  2. 2.31669 ÷ 98 =
  3. 3.394545 ÷ 897 =
  4. 4.53783 ÷ 988 =
  5. 5.37825 ÷ 89 =
  6. 6.75016 ÷ 97 =
  7. 7.14105 ÷ 97 =
  8. 8.599493 ÷ 997 =
  9. 9.82268 ÷ 97 =
  10. 10.779836 ÷ 998 =
  11. 11.1905 ÷ 8 =
  12. 12.48240 ÷ 998 =
  13. 13.68425 ÷ 97 =
  14. 14.188531 ÷ 988 =
  15. 15.656876 ÷ 998 =
  16. 16.787798 ÷ 897 =
  17. 17.5637 ÷ 8 =
  18. 18.911356 ÷ 989 =
  19. 19.40219 ÷ 96 =
  20. 20.24999 ÷ 98 =
  21. 21.30618 ÷ 96 =
  22. 22.431616 ÷ 989 =
  23. 23.250140 ÷ 988 =
  24. 24.1981 ÷ 8 =
  25. 25.4000 ÷ 89 =
  26. 26.63687 ÷ 97 =
  27. 27.90730 ÷ 89 =
  28. 28.13257 ÷ 88 =
  29. 29.933542 ÷ 897 =
  30. 30.203358 ÷ 998 =
  31. 31.977447 ÷ 997 =
  32. 32.37924 ÷ 88 =
  33. 33.683605 ÷ 998 =
  34. 34.206521 ÷ 998 =
  35. 35.532486 ÷ 988 =
  36. 36.8893 ÷ 8 =
  37. 37.828983 ÷ 998 =
  38. 38.345014 ÷ 997 =
  39. 39.94444 ÷ 96 =
  40. 40.465310 ÷ 989 =

Answer key

  1. 654 rem 247
  2. 323 rem 15
  3. 439 rem 762
  4. 54 rem 431
  5. 425 rem 0
  6. 773 rem 35
  7. 145 rem 40
  8. 601 rem 296
  9. 848 rem 12
  10. 781 rem 398
  11. 238 rem 1
  12. 48 rem 336
  13. 705 rem 40
  14. 190 rem 811
  15. 658 rem 192
  16. 878 rem 232
  17. 704 rem 5
  18. 921 rem 487
  19. 418 rem 91
  20. 255 rem 9
  21. 318 rem 90
  22. 436 rem 412
  23. 253 rem 176
  24. 247 rem 5
  25. 44 rem 84
  26. 656 rem 55
  27. 1019 rem 39
  28. 150 rem 57
  29. 1040 rem 662
  30. 203 rem 764
  31. 980 rem 387
  32. 430 rem 84
  33. 684 rem 973
  34. 206 rem 933
  35. 538 rem 942
  36. 1111 rem 5
  37. 830 rem 643
  38. 346 rem 52
  39. 983 rem 76
  40. 470 rem 480

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