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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 268 · 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. 1.902992 ÷ 989 =
  2. 2.852673 ÷ 998 =
  3. 3.420024 ÷ 988 =
  4. 4.481153 ÷ 997 =
  5. 5.183785 ÷ 897 =
  6. 6.223576 ÷ 897 =
  7. 7.7275 ÷ 8 =
  8. 8.62371 ÷ 98 =
  9. 9.5166 ÷ 8 =
  10. 10.313123 ÷ 988 =
  11. 11.92619 ÷ 88 =
  12. 12.27165 ÷ 96 =
  13. 13.24139 ÷ 88 =
  14. 14.56500 ÷ 97 =
  15. 15.4430 ÷ 8 =
  16. 16.44272 ÷ 98 =
  17. 17.85885 ÷ 96 =
  18. 18.23159 ÷ 96 =
  19. 19.568247 ÷ 997 =
  20. 20.9537 ÷ 8 =
  21. 21.400854 ÷ 988 =
  22. 22.65439 ÷ 89 =
  23. 23.5819 ÷ 8 =
  24. 24.78613 ÷ 97 =
  25. 25.848337 ÷ 989 =
  26. 26.942 ÷ 8 =
  27. 27.73023 ÷ 88 =
  28. 28.75253 ÷ 96 =
  29. 29.802641 ÷ 988 =
  30. 30.76121 ÷ 98 =
  31. 31.64293 ÷ 96 =
  32. 32.451578 ÷ 989 =
  33. 33.11304 ÷ 97 =
  34. 34.89170 ÷ 96 =
  35. 35.51151 ÷ 89 =
  36. 36.76892 ÷ 897 =
  37. 37.648 ÷ 8 =
  38. 38.23419 ÷ 89 =
  39. 39.84534 ÷ 998 =
  40. 40.2603 ÷ 97 =

Answer key

  1. 913 rem 35
  2. 854 rem 381
  3. 425 rem 124
  4. 482 rem 599
  5. 204 rem 797
  6. 249 rem 223
  7. 909 rem 3
  8. 636 rem 43
  9. 645 rem 6
  10. 316 rem 915
  11. 1052 rem 43
  12. 282 rem 93
  13. 274 rem 27
  14. 582 rem 46
  15. 553 rem 6
  16. 451 rem 74
  17. 894 rem 61
  18. 241 rem 23
  19. 569 rem 954
  20. 1192 rem 1
  21. 405 rem 714
  22. 735 rem 24
  23. 727 rem 3
  24. 810 rem 43
  25. 857 rem 764
  26. 117 rem 6
  27. 829 rem 71
  28. 783 rem 85
  29. 812 rem 385
  30. 776 rem 73
  31. 669 rem 69
  32. 456 rem 594
  33. 116 rem 52
  34. 928 rem 82
  35. 574 rem 65
  36. 85 rem 647
  37. 81 rem 0
  38. 263 rem 12
  39. 84 rem 702
  40. 26 rem 81

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