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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 360 · 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. 1.9324 ÷ 8 =
  2. 2.77952 ÷ 89 =
  3. 3.87720 ÷ 89 =
  4. 4.242666 ÷ 897 =
  5. 5.330970 ÷ 897 =
  6. 6.828460 ÷ 998 =
  7. 7.250763 ÷ 997 =
  8. 8.943344 ÷ 988 =
  9. 9.4192 ÷ 8 =
  10. 10.102049 ÷ 988 =
  11. 11.46674 ÷ 897 =
  12. 12.84985 ÷ 88 =
  13. 13.900147 ÷ 897 =
  14. 14.876350 ÷ 998 =
  15. 15.50986 ÷ 998 =
  16. 16.24649 ÷ 98 =
  17. 17.996204 ÷ 988 =
  18. 18.603538 ÷ 998 =
  19. 19.39966 ÷ 88 =
  20. 20.159794 ÷ 989 =
  21. 21.69574 ÷ 89 =
  22. 22.96682 ÷ 88 =
  23. 23.88977 ÷ 98 =
  24. 24.50225 ÷ 98 =
  25. 25.200969 ÷ 998 =
  26. 26.301296 ÷ 998 =
  27. 27.570844 ÷ 988 =
  28. 28.600826 ÷ 988 =
  29. 29.282358 ÷ 988 =
  30. 30.980535 ÷ 897 =
  31. 31.94558 ÷ 97 =
  32. 32.8832 ÷ 97 =
  33. 33.65025 ÷ 98 =
  34. 34.62374 ÷ 97 =
  35. 35.94702 ÷ 998 =
  36. 36.80821 ÷ 96 =
  37. 37.57611 ÷ 88 =
  38. 38.647694 ÷ 989 =
  39. 39.779811 ÷ 997 =
  40. 40.504453 ÷ 897 =

Answer key

  1. 1165 rem 4
  2. 875 rem 77
  3. 985 rem 55
  4. 270 rem 476
  5. 368 rem 874
  6. 830 rem 120
  7. 251 rem 516
  8. 954 rem 792
  9. 524 rem 0
  10. 103 rem 285
  11. 52 rem 30
  12. 965 rem 65
  13. 1003 rem 456
  14. 878 rem 106
  15. 51 rem 88
  16. 251 rem 51
  17. 1008 rem 300
  18. 604 rem 746
  19. 454 rem 14
  20. 161 rem 565
  21. 781 rem 65
  22. 1098 rem 58
  23. 907 rem 91
  24. 512 rem 49
  25. 201 rem 371
  26. 301 rem 898
  27. 577 rem 768
  28. 608 rem 122
  29. 285 rem 778
  30. 1093 rem 114
  31. 974 rem 80
  32. 91 rem 5
  33. 663 rem 51
  34. 643 rem 3
  35. 94 rem 890
  36. 841 rem 85
  37. 654 rem 59
  38. 654 rem 888
  39. 782 rem 157
  40. 562 rem 339

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