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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 524 · 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. 1.8385 ÷ 96 =
  2. 2.49817 ÷ 97 =
  3. 3.156921 ÷ 998 =
  4. 4.66015 ÷ 98 =
  5. 5.3807 ÷ 96 =
  6. 6.87519 ÷ 96 =
  7. 7.51068 ÷ 98 =
  8. 8.879938 ÷ 989 =
  9. 9.92642 ÷ 88 =
  10. 10.970312 ÷ 998 =
  11. 11.60851 ÷ 89 =
  12. 12.2575 ÷ 8 =
  13. 13.873164 ÷ 989 =
  14. 14.826818 ÷ 989 =
  15. 15.96040 ÷ 97 =
  16. 16.9611 ÷ 97 =
  17. 17.31036 ÷ 96 =
  18. 18.123872 ÷ 989 =
  19. 19.45302 ÷ 88 =
  20. 20.9209 ÷ 98 =
  21. 21.37181 ÷ 97 =
  22. 22.55643 ÷ 88 =
  23. 23.41172 ÷ 97 =
  24. 24.33926 ÷ 88 =
  25. 25.885420 ÷ 998 =
  26. 26.485583 ÷ 989 =
  27. 27.8501 ÷ 96 =
  28. 28.74252 ÷ 98 =
  29. 29.516123 ÷ 988 =
  30. 30.883150 ÷ 997 =
  31. 31.400787 ÷ 988 =
  32. 32.17570 ÷ 88 =
  33. 33.3816 ÷ 98 =
  34. 34.26789 ÷ 97 =
  35. 35.7577 ÷ 88 =
  36. 36.57510 ÷ 988 =
  37. 37.55980 ÷ 897 =
  38. 38.68245 ÷ 88 =
  39. 39.182931 ÷ 989 =
  40. 40.47880 ÷ 98 =

Answer key

  1. 87 rem 33
  2. 513 rem 56
  3. 157 rem 235
  4. 673 rem 61
  5. 39 rem 63
  6. 911 rem 63
  7. 521 rem 10
  8. 889 rem 717
  9. 1052 rem 66
  10. 972 rem 256
  11. 683 rem 64
  12. 321 rem 7
  13. 882 rem 866
  14. 836 rem 14
  15. 990 rem 10
  16. 99 rem 8
  17. 323 rem 28
  18. 125 rem 247
  19. 514 rem 70
  20. 93 rem 95
  21. 383 rem 30
  22. 632 rem 27
  23. 424 rem 44
  24. 385 rem 46
  25. 887 rem 194
  26. 490 rem 973
  27. 88 rem 53
  28. 757 rem 66
  29. 522 rem 387
  30. 885 rem 805
  31. 405 rem 647
  32. 199 rem 58
  33. 38 rem 92
  34. 276 rem 17
  35. 86 rem 9
  36. 58 rem 206
  37. 62 rem 366
  38. 775 rem 45
  39. 184 rem 955
  40. 488 rem 56

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