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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 514 · 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. 1.122710 ÷ 897 =
  2. 2.106720 ÷ 998 =
  3. 3.30285 ÷ 98 =
  4. 4.241664 ÷ 989 =
  5. 5.19855 ÷ 998 =
  6. 6.216419 ÷ 989 =
  7. 7.30044 ÷ 98 =
  8. 8.110529 ÷ 988 =
  9. 9.157405 ÷ 989 =
  10. 10.600872 ÷ 989 =
  11. 11.7634 ÷ 8 =
  12. 12.57698 ÷ 96 =
  13. 13.2037 ÷ 8 =
  14. 14.306192 ÷ 897 =
  15. 15.76833 ÷ 97 =
  16. 16.68212 ÷ 97 =
  17. 17.869086 ÷ 997 =
  18. 18.32351 ÷ 98 =
  19. 19.458782 ÷ 997 =
  20. 20.6145 ÷ 8 =
  21. 21.883893 ÷ 989 =
  22. 22.246050 ÷ 997 =
  23. 23.129803 ÷ 998 =
  24. 24.32280 ÷ 88 =
  25. 25.29702 ÷ 989 =
  26. 26.575234 ÷ 897 =
  27. 27.25624 ÷ 88 =
  28. 28.388788 ÷ 989 =
  29. 29.928070 ÷ 988 =
  30. 30.5572 ÷ 96 =
  31. 31.602290 ÷ 998 =
  32. 32.6403 ÷ 88 =
  33. 33.62034 ÷ 89 =
  34. 34.930594 ÷ 998 =
  35. 35.26174 ÷ 96 =
  36. 36.9587 ÷ 8 =
  37. 37.427203 ÷ 989 =
  38. 38.2409 ÷ 8 =
  39. 39.23753 ÷ 98 =
  40. 40.9055 ÷ 96 =

Answer key

  1. 136 rem 718
  2. 106 rem 932
  3. 309 rem 3
  4. 244 rem 348
  5. 19 rem 893
  6. 218 rem 817
  7. 306 rem 56
  8. 111 rem 861
  9. 159 rem 154
  10. 607 rem 549
  11. 954 rem 2
  12. 601 rem 2
  13. 254 rem 5
  14. 341 rem 315
  15. 792 rem 9
  16. 703 rem 21
  17. 871 rem 699
  18. 330 rem 11
  19. 460 rem 162
  20. 768 rem 1
  21. 893 rem 716
  22. 246 rem 788
  23. 130 rem 63
  24. 366 rem 72
  25. 30 rem 32
  26. 641 rem 257
  27. 291 rem 16
  28. 393 rem 111
  29. 939 rem 338
  30. 58 rem 4
  31. 603 rem 496
  32. 72 rem 67
  33. 697 rem 1
  34. 932 rem 458
  35. 272 rem 62
  36. 1198 rem 3
  37. 431 rem 944
  38. 301 rem 1
  39. 242 rem 37
  40. 94 rem 31

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