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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 142 · 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. 1.546269 ÷ 989 =
  2. 2.7837 ÷ 8 =
  3. 3.854848 ÷ 998 =
  4. 4.116189 ÷ 989 =
  5. 5.16726 ÷ 96 =
  6. 6.82410 ÷ 96 =
  7. 7.10793 ÷ 89 =
  8. 8.34532 ÷ 89 =
  9. 9.937012 ÷ 988 =
  10. 10.87393 ÷ 96 =
  11. 11.475244 ÷ 998 =
  12. 12.53894 ÷ 96 =
  13. 13.71332 ÷ 97 =
  14. 14.320291 ÷ 989 =
  15. 15.30313 ÷ 897 =
  16. 16.900142 ÷ 989 =
  17. 17.139858 ÷ 897 =
  18. 18.180297 ÷ 997 =
  19. 19.27926 ÷ 96 =
  20. 20.160933 ÷ 897 =
  21. 21.873214 ÷ 998 =
  22. 22.37651 ÷ 98 =
  23. 23.87368 ÷ 88 =
  24. 24.7565 ÷ 8 =
  25. 25.187310 ÷ 897 =
  26. 26.89355 ÷ 98 =
  27. 27.84041 ÷ 89 =
  28. 28.39643 ÷ 98 =
  29. 29.55947 ÷ 88 =
  30. 30.163573 ÷ 997 =
  31. 31.7242 ÷ 8 =
  32. 32.324900 ÷ 988 =
  33. 33.69199 ÷ 96 =
  34. 34.8867 ÷ 96 =
  35. 35.137305 ÷ 989 =
  36. 36.210507 ÷ 897 =
  37. 37.271595 ÷ 989 =
  38. 38.90412 ÷ 997 =
  39. 39.85721 ÷ 97 =
  40. 40.836005 ÷ 988 =

Answer key

  1. 552 rem 341
  2. 979 rem 5
  3. 856 rem 560
  4. 117 rem 476
  5. 174 rem 22
  6. 858 rem 42
  7. 121 rem 24
  8. 388 rem 0
  9. 948 rem 388
  10. 910 rem 33
  11. 476 rem 196
  12. 561 rem 38
  13. 735 rem 37
  14. 323 rem 844
  15. 33 rem 712
  16. 910 rem 152
  17. 155 rem 823
  18. 180 rem 837
  19. 290 rem 86
  20. 179 rem 370
  21. 874 rem 962
  22. 384 rem 19
  23. 992 rem 72
  24. 945 rem 5
  25. 208 rem 734
  26. 911 rem 77
  27. 944 rem 25
  28. 404 rem 51
  29. 635 rem 67
  30. 164 rem 65
  31. 905 rem 2
  32. 328 rem 836
  33. 720 rem 79
  34. 92 rem 35
  35. 138 rem 823
  36. 234 rem 609
  37. 274 rem 609
  38. 90 rem 682
  39. 883 rem 70
  40. 846 rem 157

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