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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 255 · 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. 1.415961 ÷ 997 =
  2. 2.8219 ÷ 8 =
  3. 3.346453 ÷ 897 =
  4. 4.24584 ÷ 88 =
  5. 5.939916 ÷ 989 =
  6. 6.75647 ÷ 97 =
  7. 7.480341 ÷ 998 =
  8. 8.112183 ÷ 997 =
  9. 9.17401 ÷ 88 =
  10. 10.19641 ÷ 88 =
  11. 11.2987 ÷ 8 =
  12. 12.364380 ÷ 989 =
  13. 13.72963 ÷ 88 =
  14. 14.95580 ÷ 88 =
  15. 15.7673 ÷ 8 =
  16. 16.386609 ÷ 989 =
  17. 17.205511 ÷ 998 =
  18. 18.28691 ÷ 88 =
  19. 19.93876 ÷ 88 =
  20. 20.3989 ÷ 8 =
  21. 21.95347 ÷ 88 =
  22. 22.99146 ÷ 89 =
  23. 23.41854 ÷ 97 =
  24. 24.1098 ÷ 88 =
  25. 25.7817 ÷ 8 =
  26. 26.13420 ÷ 98 =
  27. 27.888765 ÷ 997 =
  28. 28.278828 ÷ 998 =
  29. 29.319202 ÷ 989 =
  30. 30.69240 ÷ 98 =
  31. 31.666360 ÷ 997 =
  32. 32.87049 ÷ 98 =
  33. 33.19766 ÷ 97 =
  34. 34.4731 ÷ 98 =
  35. 35.89828 ÷ 98 =
  36. 36.4197 ÷ 8 =
  37. 37.9377 ÷ 8 =
  38. 38.385877 ÷ 897 =
  39. 39.702703 ÷ 897 =
  40. 40.79845 ÷ 88 =

Answer key

  1. 417 rem 212
  2. 1027 rem 3
  3. 386 rem 211
  4. 279 rem 32
  5. 950 rem 366
  6. 779 rem 84
  7. 481 rem 303
  8. 112 rem 519
  9. 197 rem 65
  10. 223 rem 17
  11. 373 rem 3
  12. 368 rem 428
  13. 829 rem 11
  14. 1086 rem 12
  15. 959 rem 1
  16. 390 rem 899
  17. 205 rem 921
  18. 326 rem 3
  19. 1066 rem 68
  20. 498 rem 5
  21. 1083 rem 43
  22. 1114 rem 0
  23. 431 rem 47
  24. 12 rem 42
  25. 977 rem 1
  26. 136 rem 92
  27. 891 rem 438
  28. 279 rem 386
  29. 322 rem 744
  30. 706 rem 52
  31. 668 rem 364
  32. 888 rem 25
  33. 203 rem 75
  34. 48 rem 27
  35. 916 rem 60
  36. 524 rem 5
  37. 1172 rem 1
  38. 430 rem 167
  39. 783 rem 352
  40. 907 rem 29

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