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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 305 · 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. 1.522264 ÷ 988 =
  2. 2.7773 ÷ 8 =
  3. 3.968961 ÷ 997 =
  4. 4.34870 ÷ 98 =
  5. 5.12218 ÷ 998 =
  6. 6.75911 ÷ 96 =
  7. 7.60143 ÷ 89 =
  8. 8.5455 ÷ 8 =
  9. 9.30964 ÷ 88 =
  10. 10.52646 ÷ 97 =
  11. 11.31245 ÷ 96 =
  12. 12.7819 ÷ 8 =
  13. 13.807063 ÷ 897 =
  14. 14.12568 ÷ 96 =
  15. 15.8425 ÷ 8 =
  16. 16.59373 ÷ 97 =
  17. 17.4166 ÷ 8 =
  18. 18.65134 ÷ 96 =
  19. 19.908823 ÷ 997 =
  20. 20.60942 ÷ 89 =
  21. 21.517173 ÷ 997 =
  22. 22.197165 ÷ 997 =
  23. 23.56412 ÷ 97 =
  24. 24.217496 ÷ 998 =
  25. 25.767480 ÷ 998 =
  26. 26.95668 ÷ 989 =
  27. 27.70792 ÷ 89 =
  28. 28.24226 ÷ 98 =
  29. 29.24687 ÷ 98 =
  30. 30.817449 ÷ 997 =
  31. 31.75202 ÷ 97 =
  32. 32.74763 ÷ 97 =
  33. 33.143812 ÷ 897 =
  34. 34.53425 ÷ 88 =
  35. 35.83384 ÷ 998 =
  36. 36.35880 ÷ 96 =
  37. 37.4435 ÷ 8 =
  38. 38.3232 ÷ 88 =
  39. 39.14207 ÷ 98 =
  40. 40.445946 ÷ 997 =

Answer key

  1. 528 rem 600
  2. 971 rem 5
  3. 971 rem 874
  4. 355 rem 80
  5. 12 rem 242
  6. 790 rem 71
  7. 675 rem 68
  8. 681 rem 7
  9. 351 rem 76
  10. 542 rem 72
  11. 325 rem 45
  12. 977 rem 3
  13. 899 rem 660
  14. 130 rem 88
  15. 1053 rem 1
  16. 612 rem 9
  17. 520 rem 6
  18. 678 rem 46
  19. 911 rem 556
  20. 684 rem 66
  21. 518 rem 727
  22. 197 rem 756
  23. 581 rem 55
  24. 217 rem 930
  25. 769 rem 18
  26. 96 rem 724
  27. 795 rem 37
  28. 247 rem 20
  29. 251 rem 89
  30. 819 rem 906
  31. 775 rem 27
  32. 770 rem 73
  33. 160 rem 292
  34. 607 rem 9
  35. 83 rem 550
  36. 373 rem 72
  37. 554 rem 3
  38. 36 rem 64
  39. 144 rem 95
  40. 447 rem 287

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