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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 37 · 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. 1.6104 ÷ 8 =
  2. 2.19357 ÷ 98 =
  3. 3.613856 ÷ 897 =
  4. 4.49724 ÷ 96 =
  5. 5.802334 ÷ 897 =
  6. 6.5291 ÷ 97 =
  7. 7.6229 ÷ 89 =
  8. 8.29028 ÷ 98 =
  9. 9.2965 ÷ 8 =
  10. 10.53593 ÷ 96 =
  11. 11.151708 ÷ 897 =
  12. 12.159551 ÷ 988 =
  13. 13.571313 ÷ 997 =
  14. 14.558475 ÷ 998 =
  15. 15.97607 ÷ 96 =
  16. 16.89930 ÷ 989 =
  17. 17.25316 ÷ 88 =
  18. 18.99444 ÷ 98 =
  19. 19.5124 ÷ 8 =
  20. 20.7579 ÷ 89 =
  21. 21.10563 ÷ 98 =
  22. 22.109017 ÷ 897 =
  23. 23.609771 ÷ 998 =
  24. 24.214796 ÷ 997 =
  25. 25.9605 ÷ 8 =
  26. 26.973376 ÷ 897 =
  27. 27.11069 ÷ 89 =
  28. 28.7598 ÷ 88 =
  29. 29.8442 ÷ 8 =
  30. 30.479269 ÷ 988 =
  31. 31.74289 ÷ 98 =
  32. 32.790304 ÷ 897 =
  33. 33.327778 ÷ 989 =
  34. 34.9091 ÷ 8 =
  35. 35.220157 ÷ 989 =
  36. 36.397686 ÷ 897 =
  37. 37.2863 ÷ 97 =
  38. 38.98918 ÷ 88 =
  39. 39.66953 ÷ 88 =
  40. 40.655659 ÷ 997 =

Answer key

  1. 763 rem 0
  2. 197 rem 51
  3. 684 rem 308
  4. 517 rem 92
  5. 894 rem 416
  6. 54 rem 53
  7. 69 rem 88
  8. 296 rem 20
  9. 370 rem 5
  10. 558 rem 25
  11. 169 rem 115
  12. 161 rem 483
  13. 573 rem 32
  14. 559 rem 593
  15. 1016 rem 71
  16. 90 rem 920
  17. 287 rem 60
  18. 1014 rem 72
  19. 640 rem 4
  20. 85 rem 14
  21. 107 rem 77
  22. 121 rem 480
  23. 610 rem 991
  24. 215 rem 441
  25. 1200 rem 5
  26. 1085 rem 131
  27. 124 rem 33
  28. 86 rem 30
  29. 1055 rem 2
  30. 485 rem 89
  31. 758 rem 5
  32. 881 rem 47
  33. 331 rem 419
  34. 1136 rem 3
  35. 222 rem 599
  36. 443 rem 315
  37. 29 rem 50
  38. 1124 rem 6
  39. 760 rem 73
  40. 657 rem 630

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