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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 816 · 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. 1.6389 ÷ 8 =
  2. 2.12618 ÷ 88 =
  3. 3.744342 ÷ 998 =
  4. 4.2490 ÷ 8 =
  5. 5.802788 ÷ 988 =
  6. 6.911348 ÷ 997 =
  7. 7.160912 ÷ 989 =
  8. 8.166345 ÷ 897 =
  9. 9.27255 ÷ 88 =
  10. 10.9860 ÷ 8 =
  11. 11.261688 ÷ 989 =
  12. 12.937857 ÷ 988 =
  13. 13.461003 ÷ 989 =
  14. 14.79548 ÷ 98 =
  15. 15.37366 ÷ 89 =
  16. 16.466338 ÷ 998 =
  17. 17.91528 ÷ 897 =
  18. 18.81111 ÷ 88 =
  19. 19.2984 ÷ 89 =
  20. 20.4725 ÷ 8 =
  21. 21.65492 ÷ 98 =
  22. 22.8187 ÷ 8 =
  23. 23.3817 ÷ 8 =
  24. 24.79579 ÷ 97 =
  25. 25.174647 ÷ 897 =
  26. 26.582021 ÷ 997 =
  27. 27.221901 ÷ 897 =
  28. 28.82290 ÷ 97 =
  29. 29.406131 ÷ 989 =
  30. 30.32033 ÷ 97 =
  31. 31.33478 ÷ 88 =
  32. 32.29468 ÷ 97 =
  33. 33.94937 ÷ 998 =
  34. 34.46425 ÷ 96 =
  35. 35.5866 ÷ 97 =
  36. 36.61614 ÷ 96 =
  37. 37.967 ÷ 8 =
  38. 38.64795 ÷ 98 =
  39. 39.53059 ÷ 98 =
  40. 40.2154 ÷ 88 =

Answer key

  1. 798 rem 5
  2. 143 rem 34
  3. 745 rem 832
  4. 311 rem 2
  5. 812 rem 532
  6. 914 rem 90
  7. 162 rem 694
  8. 185 rem 400
  9. 309 rem 63
  10. 1232 rem 4
  11. 264 rem 592
  12. 949 rem 245
  13. 466 rem 129
  14. 811 rem 70
  15. 419 rem 75
  16. 467 rem 272
  17. 102 rem 34
  18. 921 rem 63
  19. 33 rem 47
  20. 590 rem 5
  21. 668 rem 28
  22. 1023 rem 3
  23. 477 rem 1
  24. 820 rem 39
  25. 194 rem 629
  26. 583 rem 770
  27. 247 rem 342
  28. 848 rem 34
  29. 410 rem 641
  30. 330 rem 23
  31. 380 rem 38
  32. 303 rem 77
  33. 95 rem 127
  34. 483 rem 57
  35. 60 rem 46
  36. 641 rem 78
  37. 120 rem 7
  38. 661 rem 17
  39. 541 rem 41
  40. 24 rem 42

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