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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 29 · 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. 1.1240 ÷ 8 =
  2. 2.875450 ÷ 897 =
  3. 3.63921 ÷ 98 =
  4. 4.686101 ÷ 989 =
  5. 5.12518 ÷ 97 =
  6. 6.78220 ÷ 98 =
  7. 7.51758 ÷ 98 =
  8. 8.81190 ÷ 96 =
  9. 9.90852 ÷ 97 =
  10. 10.660420 ÷ 897 =
  11. 11.41101 ÷ 98 =
  12. 12.449087 ÷ 897 =
  13. 13.9369 ÷ 8 =
  14. 14.885177 ÷ 989 =
  15. 15.362812 ÷ 989 =
  16. 16.6607 ÷ 8 =
  17. 17.99428 ÷ 89 =
  18. 18.25456 ÷ 88 =
  19. 19.85376 ÷ 97 =
  20. 20.448990 ÷ 897 =
  21. 21.32914 ÷ 89 =
  22. 22.41304 ÷ 96 =
  23. 23.18290 ÷ 89 =
  24. 24.1225 ÷ 8 =
  25. 25.4868 ÷ 98 =
  26. 26.837725 ÷ 988 =
  27. 27.68542 ÷ 88 =
  28. 28.496034 ÷ 988 =
  29. 29.2080 ÷ 8 =
  30. 30.57294 ÷ 98 =
  31. 31.50342 ÷ 96 =
  32. 32.27466 ÷ 97 =
  33. 33.806886 ÷ 989 =
  34. 34.886422 ÷ 897 =
  35. 35.876543 ÷ 997 =
  36. 36.59187 ÷ 97 =
  37. 37.648860 ÷ 997 =
  38. 38.2478 ÷ 96 =
  39. 39.506069 ÷ 997 =
  40. 40.91973 ÷ 88 =

Answer key

  1. 155 rem 0
  2. 975 rem 875
  3. 652 rem 25
  4. 693 rem 724
  5. 129 rem 5
  6. 798 rem 16
  7. 528 rem 14
  8. 845 rem 70
  9. 936 rem 60
  10. 736 rem 228
  11. 419 rem 39
  12. 500 rem 587
  13. 1171 rem 1
  14. 895 rem 22
  15. 366 rem 838
  16. 825 rem 7
  17. 1117 rem 15
  18. 289 rem 24
  19. 880 rem 16
  20. 500 rem 490
  21. 369 rem 73
  22. 430 rem 24
  23. 205 rem 45
  24. 153 rem 1
  25. 49 rem 66
  26. 847 rem 889
  27. 778 rem 78
  28. 502 rem 58
  29. 260 rem 0
  30. 584 rem 62
  31. 524 rem 38
  32. 283 rem 15
  33. 815 rem 851
  34. 988 rem 186
  35. 879 rem 180
  36. 610 rem 17
  37. 650 rem 810
  38. 25 rem 78
  39. 507 rem 590
  40. 1045 rem 13

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