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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 417 · 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. 1.32968 ÷ 988 =
  2. 2.757338 ÷ 989 =
  3. 3.41851 ÷ 89 =
  4. 4.406328 ÷ 998 =
  5. 5.47040 ÷ 96 =
  6. 6.75326 ÷ 988 =
  7. 7.516598 ÷ 997 =
  8. 8.24506 ÷ 98 =
  9. 9.11368 ÷ 88 =
  10. 10.87080 ÷ 88 =
  11. 11.451314 ÷ 988 =
  12. 12.518980 ÷ 988 =
  13. 13.151907 ÷ 897 =
  14. 14.905327 ÷ 988 =
  15. 15.83974 ÷ 97 =
  16. 16.2076 ÷ 89 =
  17. 17.293132 ÷ 988 =
  18. 18.35484 ÷ 97 =
  19. 19.29586 ÷ 96 =
  20. 20.2712 ÷ 88 =
  21. 21.98768 ÷ 96 =
  22. 22.538109 ÷ 989 =
  23. 23.8857 ÷ 8 =
  24. 24.457371 ÷ 998 =
  25. 25.927667 ÷ 989 =
  26. 26.37815 ÷ 88 =
  27. 27.148565 ÷ 989 =
  28. 28.946417 ÷ 998 =
  29. 29.24525 ÷ 96 =
  30. 30.408706 ÷ 988 =
  31. 31.43668 ÷ 97 =
  32. 32.735795 ÷ 989 =
  33. 33.10228 ÷ 97 =
  34. 34.5372 ÷ 8 =
  35. 35.757092 ÷ 897 =
  36. 36.300837 ÷ 988 =
  37. 37.6173 ÷ 8 =
  38. 38.165430 ÷ 988 =
  39. 39.172800 ÷ 989 =
  40. 40.7135 ÷ 8 =

Answer key

  1. 33 rem 364
  2. 765 rem 753
  3. 470 rem 21
  4. 407 rem 142
  5. 490 rem 0
  6. 76 rem 238
  7. 518 rem 152
  8. 250 rem 6
  9. 129 rem 16
  10. 989 rem 48
  11. 456 rem 786
  12. 525 rem 280
  13. 169 rem 314
  14. 916 rem 319
  15. 865 rem 69
  16. 23 rem 29
  17. 296 rem 684
  18. 365 rem 79
  19. 308 rem 18
  20. 30 rem 72
  21. 1028 rem 80
  22. 544 rem 93
  23. 1107 rem 1
  24. 458 rem 287
  25. 937 rem 974
  26. 429 rem 63
  27. 150 rem 215
  28. 948 rem 313
  29. 255 rem 45
  30. 413 rem 662
  31. 450 rem 18
  32. 743 rem 968
  33. 105 rem 43
  34. 671 rem 4
  35. 844 rem 24
  36. 304 rem 485
  37. 771 rem 5
  38. 167 rem 434
  39. 174 rem 714
  40. 891 rem 7

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