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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 381 · 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. 1.14905 ÷ 89 =
  2. 2.87196 ÷ 96 =
  3. 3.353816 ÷ 989 =
  4. 4.82109 ÷ 98 =
  5. 5.402546 ÷ 997 =
  6. 6.814098 ÷ 998 =
  7. 7.74408 ÷ 988 =
  8. 8.72159 ÷ 97 =
  9. 9.63665 ÷ 97 =
  10. 10.7839 ÷ 8 =
  11. 11.2594 ÷ 96 =
  12. 12.3436 ÷ 96 =
  13. 13.9819 ÷ 8 =
  14. 14.9463 ÷ 8 =
  15. 15.27842 ÷ 98 =
  16. 16.49550 ÷ 88 =
  17. 17.5313 ÷ 8 =
  18. 18.35079 ÷ 88 =
  19. 19.245193 ÷ 989 =
  20. 20.47011 ÷ 88 =
  21. 21.157171 ÷ 988 =
  22. 22.54919 ÷ 89 =
  23. 23.1527 ÷ 8 =
  24. 24.20333 ÷ 88 =
  25. 25.3512 ÷ 8 =
  26. 26.7046 ÷ 8 =
  27. 27.225709 ÷ 989 =
  28. 28.45910 ÷ 97 =
  29. 29.19799 ÷ 89 =
  30. 30.641545 ÷ 897 =
  31. 31.65041 ÷ 97 =
  32. 32.88594 ÷ 97 =
  33. 33.152905 ÷ 988 =
  34. 34.14178 ÷ 89 =
  35. 35.396018 ÷ 998 =
  36. 36.7128 ÷ 8 =
  37. 37.764398 ÷ 997 =
  38. 38.68694 ÷ 97 =
  39. 39.84322 ÷ 96 =
  40. 40.123643 ÷ 897 =

Answer key

  1. 167 rem 42
  2. 908 rem 28
  3. 357 rem 743
  4. 837 rem 83
  5. 403 rem 755
  6. 815 rem 728
  7. 75 rem 308
  8. 743 rem 88
  9. 656 rem 33
  10. 979 rem 7
  11. 27 rem 2
  12. 35 rem 76
  13. 1227 rem 3
  14. 1182 rem 7
  15. 284 rem 10
  16. 563 rem 6
  17. 664 rem 1
  18. 398 rem 55
  19. 247 rem 910
  20. 534 rem 19
  21. 159 rem 79
  22. 617 rem 6
  23. 190 rem 7
  24. 231 rem 5
  25. 439 rem 0
  26. 880 rem 6
  27. 228 rem 217
  28. 473 rem 29
  29. 222 rem 41
  30. 715 rem 190
  31. 670 rem 51
  32. 913 rem 33
  33. 154 rem 753
  34. 159 rem 27
  35. 396 rem 810
  36. 891 rem 0
  37. 766 rem 696
  38. 708 rem 18
  39. 878 rem 34
  40. 137 rem 754

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