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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 425 · 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. 1.665642 ÷ 988 =
  2. 2.985980 ÷ 998 =
  3. 3.1345 ÷ 8 =
  4. 4.12416 ÷ 97 =
  5. 5.56133 ÷ 97 =
  6. 6.39577 ÷ 96 =
  7. 7.15389 ÷ 97 =
  8. 8.39446 ÷ 97 =
  9. 9.490082 ÷ 897 =
  10. 10.155384 ÷ 997 =
  11. 11.446906 ÷ 989 =
  12. 12.85758 ÷ 98 =
  13. 13.31249 ÷ 97 =
  14. 14.148481 ÷ 998 =
  15. 15.559134 ÷ 997 =
  16. 16.495631 ÷ 897 =
  17. 17.137575 ÷ 998 =
  18. 18.8629 ÷ 88 =
  19. 19.5398 ÷ 8 =
  20. 20.1837 ÷ 8 =
  21. 21.666122 ÷ 988 =
  22. 22.720256 ÷ 988 =
  23. 23.717918 ÷ 988 =
  24. 24.58553 ÷ 88 =
  25. 25.29455 ÷ 997 =
  26. 26.732572 ÷ 997 =
  27. 27.93602 ÷ 96 =
  28. 28.43893 ÷ 89 =
  29. 29.17789 ÷ 988 =
  30. 30.231186 ÷ 897 =
  31. 31.6740 ÷ 8 =
  32. 32.959405 ÷ 998 =
  33. 33.30513 ÷ 89 =
  34. 34.780686 ÷ 988 =
  35. 35.557463 ÷ 988 =
  36. 36.4577 ÷ 8 =
  37. 37.4331 ÷ 8 =
  38. 38.7154 ÷ 8 =
  39. 39.768551 ÷ 998 =
  40. 40.61765 ÷ 88 =

Answer key

  1. 673 rem 718
  2. 987 rem 954
  3. 168 rem 1
  4. 128 rem 0
  5. 578 rem 67
  6. 412 rem 25
  7. 158 rem 63
  8. 406 rem 64
  9. 546 rem 320
  10. 155 rem 849
  11. 451 rem 867
  12. 875 rem 8
  13. 322 rem 15
  14. 148 rem 777
  15. 560 rem 814
  16. 552 rem 487
  17. 137 rem 849
  18. 98 rem 5
  19. 674 rem 6
  20. 229 rem 5
  21. 674 rem 210
  22. 729 rem 4
  23. 726 rem 630
  24. 665 rem 33
  25. 29 rem 542
  26. 734 rem 774
  27. 975 rem 2
  28. 493 rem 16
  29. 18 rem 5
  30. 257 rem 657
  31. 842 rem 4
  32. 961 rem 327
  33. 342 rem 75
  34. 790 rem 166
  35. 564 rem 231
  36. 572 rem 1
  37. 541 rem 3
  38. 894 rem 2
  39. 770 rem 91
  40. 701 rem 77

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