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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 307 · 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. 1.216985 ÷ 997 =
  2. 2.32143 ÷ 97 =
  3. 3.623341 ÷ 897 =
  4. 4.91402 ÷ 96 =
  5. 5.873061 ÷ 998 =
  6. 6.7985 ÷ 8 =
  7. 7.22185 ÷ 88 =
  8. 8.85067 ÷ 88 =
  9. 9.33834 ÷ 988 =
  10. 10.285390 ÷ 989 =
  11. 11.33732 ÷ 89 =
  12. 12.5954 ÷ 8 =
  13. 13.168188 ÷ 897 =
  14. 14.992169 ÷ 989 =
  15. 15.6675 ÷ 8 =
  16. 16.581741 ÷ 897 =
  17. 17.791226 ÷ 988 =
  18. 18.5337 ÷ 8 =
  19. 19.33096 ÷ 88 =
  20. 20.62128 ÷ 88 =
  21. 21.53813 ÷ 989 =
  22. 22.989968 ÷ 998 =
  23. 23.616058 ÷ 988 =
  24. 24.728408 ÷ 988 =
  25. 25.3145 ÷ 8 =
  26. 26.41797 ÷ 96 =
  27. 27.80931 ÷ 997 =
  28. 28.749881 ÷ 989 =
  29. 29.287376 ÷ 998 =
  30. 30.632464 ÷ 998 =
  31. 31.52987 ÷ 96 =
  32. 32.413914 ÷ 998 =
  33. 33.925179 ÷ 988 =
  34. 34.212058 ÷ 989 =
  35. 35.16026 ÷ 98 =
  36. 36.46074 ÷ 98 =
  37. 37.608798 ÷ 988 =
  38. 38.122591 ÷ 897 =
  39. 39.6226 ÷ 89 =
  40. 40.16255 ÷ 96 =

Answer key

  1. 217 rem 636
  2. 331 rem 36
  3. 694 rem 823
  4. 952 rem 10
  5. 874 rem 809
  6. 998 rem 1
  7. 252 rem 9
  8. 966 rem 59
  9. 34 rem 242
  10. 288 rem 558
  11. 379 rem 1
  12. 744 rem 2
  13. 187 rem 449
  14. 1003 rem 202
  15. 834 rem 3
  16. 648 rem 485
  17. 800 rem 826
  18. 667 rem 1
  19. 376 rem 8
  20. 706 rem 0
  21. 54 rem 407
  22. 991 rem 950
  23. 623 rem 534
  24. 737 rem 252
  25. 393 rem 1
  26. 435 rem 37
  27. 81 rem 174
  28. 758 rem 219
  29. 287 rem 950
  30. 633 rem 730
  31. 551 rem 91
  32. 414 rem 742
  33. 936 rem 411
  34. 214 rem 412
  35. 163 rem 52
  36. 470 rem 14
  37. 616 rem 190
  38. 136 rem 599
  39. 69 rem 85
  40. 169 rem 31

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