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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 942 · 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. 1.58163 ÷ 97 =
  2. 2.282244 ÷ 997 =
  3. 3.474178 ÷ 989 =
  4. 4.43767 ÷ 97 =
  5. 5.4270 ÷ 88 =
  6. 6.21815 ÷ 96 =
  7. 7.27444 ÷ 88 =
  8. 8.4257 ÷ 8 =
  9. 9.29496 ÷ 97 =
  10. 10.630103 ÷ 989 =
  11. 11.796301 ÷ 989 =
  12. 12.34941 ÷ 988 =
  13. 13.374995 ÷ 989 =
  14. 14.74672 ÷ 88 =
  15. 15.617115 ÷ 997 =
  16. 16.877012 ÷ 989 =
  17. 17.128223 ÷ 998 =
  18. 18.3332 ÷ 89 =
  19. 19.19231 ÷ 97 =
  20. 20.929182 ÷ 998 =
  21. 21.6644 ÷ 89 =
  22. 22.736467 ÷ 989 =
  23. 23.417708 ÷ 998 =
  24. 24.351084 ÷ 997 =
  25. 25.391517 ÷ 998 =
  26. 26.11789 ÷ 97 =
  27. 27.98863 ÷ 998 =
  28. 28.2820 ÷ 98 =
  29. 29.7905 ÷ 8 =
  30. 30.8188 ÷ 98 =
  31. 31.91046 ÷ 97 =
  32. 32.901114 ÷ 989 =
  33. 33.9110 ÷ 8 =
  34. 34.340524 ÷ 998 =
  35. 35.274955 ÷ 998 =
  36. 36.6961 ÷ 98 =
  37. 37.51816 ÷ 97 =
  38. 38.976809 ÷ 988 =
  39. 39.83148 ÷ 96 =
  40. 40.51733 ÷ 97 =

Answer key

  1. 599 rem 60
  2. 283 rem 93
  3. 479 rem 447
  4. 451 rem 20
  5. 48 rem 46
  6. 227 rem 23
  7. 311 rem 76
  8. 532 rem 1
  9. 304 rem 8
  10. 637 rem 110
  11. 805 rem 156
  12. 35 rem 361
  13. 379 rem 164
  14. 848 rem 48
  15. 618 rem 969
  16. 886 rem 758
  17. 128 rem 479
  18. 37 rem 39
  19. 198 rem 25
  20. 931 rem 44
  21. 74 rem 58
  22. 744 rem 651
  23. 418 rem 544
  24. 352 rem 140
  25. 392 rem 301
  26. 121 rem 52
  27. 99 rem 61
  28. 28 rem 76
  29. 988 rem 1
  30. 83 rem 54
  31. 938 rem 60
  32. 911 rem 135
  33. 1138 rem 6
  34. 341 rem 206
  35. 275 rem 505
  36. 71 rem 3
  37. 534 rem 18
  38. 988 rem 665
  39. 866 rem 12
  40. 533 rem 32

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