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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 904 · 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. 1.19206 ÷ 88 =
  2. 2.36015 ÷ 89 =
  3. 3.92981 ÷ 97 =
  4. 4.499317 ÷ 998 =
  5. 5.971736 ÷ 897 =
  6. 6.794999 ÷ 998 =
  7. 7.177083 ÷ 989 =
  8. 8.8222 ÷ 8 =
  9. 9.58194 ÷ 88 =
  10. 10.7806 ÷ 96 =
  11. 11.344641 ÷ 988 =
  12. 12.36271 ÷ 96 =
  13. 13.679819 ÷ 897 =
  14. 14.56613 ÷ 96 =
  15. 15.50258 ÷ 96 =
  16. 16.37471 ÷ 96 =
  17. 17.390314 ÷ 897 =
  18. 18.806912 ÷ 897 =
  19. 19.72938 ÷ 97 =
  20. 20.86381 ÷ 97 =
  21. 21.602269 ÷ 988 =
  22. 22.630196 ÷ 997 =
  23. 23.70917 ÷ 89 =
  24. 24.909938 ÷ 897 =
  25. 25.78997 ÷ 97 =
  26. 26.28566 ÷ 989 =
  27. 27.4687 ÷ 8 =
  28. 28.69890 ÷ 96 =
  29. 29.70654 ÷ 89 =
  30. 30.38164 ÷ 988 =
  31. 31.45529 ÷ 97 =
  32. 32.99454 ÷ 96 =
  33. 33.88507 ÷ 998 =
  34. 34.34335 ÷ 89 =
  35. 35.239437 ÷ 989 =
  36. 36.395025 ÷ 997 =
  37. 37.45756 ÷ 89 =
  38. 38.28435 ÷ 88 =
  39. 39.957474 ÷ 897 =
  40. 40.881807 ÷ 989 =

Answer key

  1. 218 rem 22
  2. 404 rem 59
  3. 958 rem 55
  4. 500 rem 317
  5. 1083 rem 285
  6. 796 rem 591
  7. 179 rem 52
  8. 1027 rem 6
  9. 661 rem 26
  10. 81 rem 30
  11. 348 rem 817
  12. 377 rem 79
  13. 757 rem 790
  14. 589 rem 69
  15. 523 rem 50
  16. 390 rem 31
  17. 435 rem 119
  18. 899 rem 509
  19. 751 rem 91
  20. 890 rem 51
  21. 609 rem 577
  22. 632 rem 92
  23. 796 rem 73
  24. 1014 rem 380
  25. 814 rem 39
  26. 28 rem 874
  27. 585 rem 7
  28. 728 rem 2
  29. 793 rem 77
  30. 38 rem 620
  31. 469 rem 36
  32. 1035 rem 94
  33. 88 rem 683
  34. 385 rem 70
  35. 242 rem 99
  36. 396 rem 213
  37. 514 rem 10
  38. 323 rem 11
  39. 1067 rem 375
  40. 891 rem 608

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