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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 441 · 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. 1.53732 ÷ 988 =
  2. 2.687548 ÷ 988 =
  3. 3.113616 ÷ 988 =
  4. 4.309790 ÷ 989 =
  5. 5.877534 ÷ 988 =
  6. 6.7866 ÷ 8 =
  7. 7.306022 ÷ 989 =
  8. 8.108679 ÷ 897 =
  9. 9.87613 ÷ 88 =
  10. 10.6661 ÷ 88 =
  11. 11.478782 ÷ 988 =
  12. 12.790063 ÷ 897 =
  13. 13.196297 ÷ 998 =
  14. 14.97528 ÷ 98 =
  15. 15.6409 ÷ 8 =
  16. 16.21724 ÷ 89 =
  17. 17.18095 ÷ 96 =
  18. 18.5679 ÷ 97 =
  19. 19.153091 ÷ 897 =
  20. 20.13147 ÷ 89 =
  21. 21.835931 ÷ 988 =
  22. 22.32799 ÷ 89 =
  23. 23.21369 ÷ 88 =
  24. 24.11126 ÷ 98 =
  25. 25.77312 ÷ 97 =
  26. 26.80949 ÷ 89 =
  27. 27.987284 ÷ 998 =
  28. 28.9817 ÷ 98 =
  29. 29.75403 ÷ 89 =
  30. 30.276510 ÷ 997 =
  31. 31.810 ÷ 8 =
  32. 32.65713 ÷ 97 =
  33. 33.37937 ÷ 88 =
  34. 34.66729 ÷ 897 =
  35. 35.938065 ÷ 998 =
  36. 36.617187 ÷ 897 =
  37. 37.30405 ÷ 98 =
  38. 38.24067 ÷ 96 =
  39. 39.290010 ÷ 988 =
  40. 40.4787 ÷ 88 =

Answer key

  1. 54 rem 380
  2. 695 rem 888
  3. 114 rem 984
  4. 313 rem 233
  5. 888 rem 190
  6. 983 rem 2
  7. 309 rem 421
  8. 121 rem 142
  9. 995 rem 53
  10. 75 rem 61
  11. 484 rem 590
  12. 880 rem 703
  13. 196 rem 689
  14. 995 rem 18
  15. 801 rem 1
  16. 244 rem 8
  17. 188 rem 47
  18. 58 rem 53
  19. 170 rem 601
  20. 147 rem 64
  21. 846 rem 83
  22. 368 rem 47
  23. 242 rem 73
  24. 113 rem 52
  25. 797 rem 3
  26. 909 rem 48
  27. 989 rem 262
  28. 100 rem 17
  29. 847 rem 20
  30. 277 rem 341
  31. 101 rem 2
  32. 677 rem 44
  33. 431 rem 9
  34. 74 rem 351
  35. 939 rem 943
  36. 688 rem 51
  37. 310 rem 25
  38. 250 rem 67
  39. 293 rem 526
  40. 54 rem 35

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