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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 259 · 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. 1.38390 ÷ 997 =
  2. 2.12277 ÷ 88 =
  3. 3.64139 ÷ 98 =
  4. 4.760013 ÷ 989 =
  5. 5.871549 ÷ 998 =
  6. 6.94846 ÷ 89 =
  7. 7.25574 ÷ 97 =
  8. 8.67464 ÷ 88 =
  9. 9.56850 ÷ 97 =
  10. 10.112775 ÷ 989 =
  11. 11.6672 ÷ 96 =
  12. 12.29955 ÷ 97 =
  13. 13.418085 ÷ 989 =
  14. 14.68989 ÷ 98 =
  15. 15.339076 ÷ 989 =
  16. 16.745913 ÷ 988 =
  17. 17.720334 ÷ 998 =
  18. 18.404716 ÷ 988 =
  19. 19.99220 ÷ 97 =
  20. 20.38371 ÷ 97 =
  21. 21.253162 ÷ 997 =
  22. 22.3715 ÷ 8 =
  23. 23.352708 ÷ 997 =
  24. 24.9031 ÷ 88 =
  25. 25.33435 ÷ 96 =
  26. 26.59336 ÷ 97 =
  27. 27.21603 ÷ 96 =
  28. 28.3189 ÷ 97 =
  29. 29.31872 ÷ 96 =
  30. 30.93835 ÷ 97 =
  31. 31.230460 ÷ 897 =
  32. 32.47696 ÷ 88 =
  33. 33.378760 ÷ 998 =
  34. 34.42144 ÷ 96 =
  35. 35.138711 ÷ 997 =
  36. 36.35286 ÷ 89 =
  37. 37.97293 ÷ 98 =
  38. 38.751976 ÷ 998 =
  39. 39.937444 ÷ 998 =
  40. 40.272966 ÷ 998 =

Answer key

  1. 38 rem 504
  2. 139 rem 45
  3. 654 rem 47
  4. 768 rem 461
  5. 873 rem 295
  6. 1065 rem 61
  7. 263 rem 63
  8. 766 rem 56
  9. 586 rem 8
  10. 114 rem 29
  11. 69 rem 48
  12. 308 rem 79
  13. 422 rem 727
  14. 703 rem 95
  15. 342 rem 838
  16. 754 rem 961
  17. 721 rem 776
  18. 409 rem 624
  19. 1022 rem 86
  20. 395 rem 56
  21. 253 rem 921
  22. 464 rem 3
  23. 353 rem 767
  24. 102 rem 55
  25. 348 rem 27
  26. 611 rem 69
  27. 225 rem 3
  28. 32 rem 85
  29. 332 rem 0
  30. 967 rem 36
  31. 256 rem 828
  32. 542 rem 0
  33. 379 rem 518
  34. 439 rem 0
  35. 139 rem 128
  36. 396 rem 42
  37. 992 rem 77
  38. 753 rem 482
  39. 939 rem 322
  40. 273 rem 512

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