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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 154 · 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. 1.51597 ÷ 96 =
  2. 2.9239 ÷ 8 =
  3. 3.657120 ÷ 998 =
  4. 4.71929 ÷ 988 =
  5. 5.485820 ÷ 989 =
  6. 6.11129 ÷ 96 =
  7. 7.71577 ÷ 88 =
  8. 8.2619 ÷ 8 =
  9. 9.11184 ÷ 89 =
  10. 10.197763 ÷ 989 =
  11. 11.34182 ÷ 998 =
  12. 12.82721 ÷ 96 =
  13. 13.479235 ÷ 998 =
  14. 14.707847 ÷ 988 =
  15. 15.616787 ÷ 989 =
  16. 16.727422 ÷ 998 =
  17. 17.113032 ÷ 988 =
  18. 18.847177 ÷ 998 =
  19. 19.80764 ÷ 96 =
  20. 20.49613 ÷ 98 =
  21. 21.39023 ÷ 98 =
  22. 22.2915 ÷ 88 =
  23. 23.93767 ÷ 98 =
  24. 24.568724 ÷ 989 =
  25. 25.878257 ÷ 998 =
  26. 26.582866 ÷ 897 =
  27. 27.254222 ÷ 997 =
  28. 28.923485 ÷ 989 =
  29. 29.333806 ÷ 998 =
  30. 30.226935 ÷ 997 =
  31. 31.539613 ÷ 897 =
  32. 32.44360 ÷ 988 =
  33. 33.553147 ÷ 997 =
  34. 34.331516 ÷ 988 =
  35. 35.39826 ÷ 97 =
  36. 36.40547 ÷ 97 =
  37. 37.243350 ÷ 897 =
  38. 38.145792 ÷ 989 =
  39. 39.86969 ÷ 98 =
  40. 40.11408 ÷ 88 =

Answer key

  1. 537 rem 45
  2. 1154 rem 7
  3. 658 rem 436
  4. 72 rem 793
  5. 491 rem 221
  6. 115 rem 89
  7. 813 rem 33
  8. 327 rem 3
  9. 125 rem 59
  10. 199 rem 952
  11. 34 rem 250
  12. 861 rem 65
  13. 480 rem 195
  14. 716 rem 439
  15. 623 rem 640
  16. 728 rem 878
  17. 114 rem 400
  18. 848 rem 873
  19. 841 rem 28
  20. 506 rem 25
  21. 398 rem 19
  22. 33 rem 11
  23. 956 rem 79
  24. 575 rem 49
  25. 880 rem 17
  26. 649 rem 713
  27. 254 rem 984
  28. 933 rem 748
  29. 334 rem 474
  30. 227 rem 616
  31. 601 rem 516
  32. 44 rem 888
  33. 554 rem 809
  34. 335 rem 536
  35. 410 rem 56
  36. 418 rem 1
  37. 271 rem 263
  38. 147 rem 409
  39. 887 rem 43
  40. 129 rem 56

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